{ "cells": [ { "cell_type": "markdown", "id": "17e08475-5de2-4f91-b73e-25e29f29a5bd", "metadata": {}, "source": [ "# Auxiliar 10" ] }, { "cell_type": "markdown", "id": "e7a96cfe-1e9f-4640-8db9-0d5642dbb50b", "metadata": {}, "source": [ "Hoy revisaremos dos metodos de integraciĆ³n de ecuaciones diferenciales de segundo orden con forma $\\ddot{x} = a(x)$ y los aplicaremos a ejemplos simples pero demostrativos de sus capacidades." ] }, { "cell_type": "markdown", "id": "d6a5b129-b321-41c1-b313-1ebe64b5ca80", "metadata": { "tags": [] }, "source": [ "### Algoritmo de Beeman:" ] }, { "cell_type": "markdown", "id": "329f107a-d2bb-4b7e-a4d7-83b3afc5947e", "metadata": { "jp-MarkdownHeadingCollapsed": true, "tags": [] }, "source": [ "El algoritmo de Beeman esta relacionado con el conocido algoritmo de Verlet, pero con un orden error mayor. El integrador consiste en:\n", "\n", "$$\n", "\\ddot{x} = a(x)\n", "$$\n", "\n", "$$\n", "x(t + \\Delta t) = x(t) + v(t) \\Delta t (\\frac{2}{3} a(t) - \\frac{1}{6}a(t - \\Delta t))\\Delta t^{2} + O(\\Delta t^{4})\n", "$$\n", "\n", "$$\n", "v(t + \\Delta t) = v(t) + (\\frac{1}{3} a(t + \\Delta t) + \\frac{5}{6} a(t) - \\frac{1}{6}a(t - \\Delta t))\\Delta t + O(\\Delta t^{3})\n", "$$" ] }, { "cell_type": "code", "execution_count": 1, "id": "e6a89ecf-d938-433c-b7a7-5543a79f9da3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pylab\n", "# Seteamos parametros globales del plot\n", "F = pylab.gcf()\n", "DPI = F.get_dpi()\n", "plt.rcParams[\"figure.figsize\"] = (800/DPI, 600/DPI)" ] }, { "cell_type": "code", "execution_count": 2, "id": "77632625-7bd3-454e-98fa-ba440dedbb03", "metadata": {}, "outputs": [], "source": [ "# Definimos la funcion a integrar\n", "def A(x, w0 = 10):\n", " A = -(w0**2) * x\n", " return A" ] }, { "cell_type": "code", "execution_count": 8, "id": "32920631-d113-4430-a520-f628e0664f2c", "metadata": {}, "outputs": [], "source": [ "def Beeman_step(a, x_t, x_prev, v_t, v_prev, t, dt, w_0 = 10):\n", " a_t = a(x_t, w0 = w_0)\n", " a_prev = a(x_prev, w0 = w_0)\n", " if t == 0:\n", " x_next = x_t + v_t * dt + (2/3)*a_t*(dt**2) - (1/6)*a_t*(dt**2)\n", " v_next = v_t + (1/3)*a(x_next)*dt + (5/6)*a_t*dt - (1/6)*a(t)*dt\n", " else:\n", " x_next = x_t + v_t * dt + (2/3)*a_t*(dt**2) - (1/6)*a_prev*(dt**2)\n", " v_next = v_t + (1/3)*a(x_next, w0 = w_0)*dt + (5/6)*a_t*dt - (1/6)*a_prev*dt\n", " return [x_next, x_t, v_next, v_t]\n", "\n", "def Beeman(a, x0, v0, n_steps, tf, t0 = 1, w0 = 10, solution = np.cos, return_error = False):\n", " dt = (tf - t0)/(n_steps - 1)\n", " t = np.arange(t0, tf+dt, dt)\n", " x = np.zeros(len(t))\n", " v = np.zeros(len(t))\n", " state_t_and_prev = [x0, x0, v0, v0]\n", " x[0] = x0\n", " v[0] = v0\n", " error = np.zeros(len(t))\n", " error[0] = abs(x0 * solution(w0 * 0) - x0)\n", " for i in range(len(t) - 1):\n", " x_t = state_t_and_prev[0]\n", " x_prev = state_t_and_prev[1]\n", " v_t = state_t_and_prev[2]\n", " v_prev = state_t_and_prev[3]\n", " new_state = Beeman_step(a, x_t, x_prev, v_t, v_prev, t[i], dt, w_0 = w0)\n", " x[i + 1] = new_state[0]\n", " v[i + 1] = new_state[2]\n", " error[i + 1] = abs(x0 * solution(w0 * (t[i + 1] - t0)) - x[i + 1])\n", " state_t_and_prev = new_state\n", " if return_error == True:\n", " return t, x, v, error\n", " else:\n", " return t, x, v\n", " " ] }, { "cell_type": "code", "execution_count": 18, "id": "90ac57a4-39b1-4dc8-9d7c-7eb2dce05d1d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8bx/2T72nXA7z1VPOO9972usNMRzbY84SyPdsqvc0t4Yz7m8XZDl7poFNtnUzmL6nc+0GmnWTMTif7O+p825P97w0qiRq9mwu7+Rl1m4fDrDbaaDhkqidZsYgy70nJQnmwWB67hljMu/v4z7q8k4Le91htuZUTSgBqCcubbdwK9MNO6cCicwM6HyQBQD3nWtlD7Kmznti1ysZ35VzUNutOlqNWtb31G7UsNWqZltmPYQPTiRR25lZ/MOZgwLyshKnkqjMz2Z+fxtjcGk7H3N++uxrYr83RG8on2DOkqjjazgnc358DbengaA0ZknUSR+V79nM+6icyffJNeyC9FKGLwGoN/IGWc5BzSh8IB8DevtoxgJUduVzUO5Ks1MHX4Z31R2M0B2MjznvvAff6SArly5r2SGc69mcTKJyaoeXJZg5Heb8/r68k+/su33YR6dZm14QcCljYDNLoqpns9tpoF4zmZOoufe0rYABPcHi59Iy3z7xbC7tNLMFw7cPj6+bWeJSAtASgHrC6bJyDLM9XaLLrwE9GdjkkwP0Ua8ZnO9Ul3rlDGxOsrHOnrxB1vFAAsj7bPTosk4nUfne08RB7RyXJ2hIooDM7PDJJCqj8z6ZKNRqBpe2m/mIgBNJ1KWdFu4cDTDMUNo9lWBmr3DMtLqA81F5guFXD/rYatbnkqi82mFNKAGoJ1wDUI7S7u0TGlBX2s2xgIejMe52h6c0oDlZgItbzek1oDmDrJNaH6BaN/nYo+PO+1JG531yDefWZS1Kova6wywzHW8d9tGoGey2qyQqp4zkZCAB5G1eW8RUA3mC85PNJEDus+80U139ewZ2+ETyfXG7BWOAWxlsOeqP0BuOT/uoTPKEk8nufU47nImR1YQSgHriwmQBuZKvJKbM2lZlQ6XLama5nWRa8t6a39xNHPRHWZz3qWaSyZ9zHDaLGNCL283MLMAiB5WfAXV/zhEMD0Zj7PWGp5hqYOZIJeHWsEuiLmw1UTOZ3tPB8VKq+7OGhiggb4XjZBLl7MmWYB4MjtuSsfP81cMBGjWDc5Mkql4zuLCV5+xblEQ5ic14LD8d5RRTvZ23yVATSgDqid1JiXevm6MEf7zbsbKnib1ejiDreLcjAJyfBKN73Qz2HBxn+dwBmMOWRQzo+a1mljXj7Ll4zJZ8a9itmwtzicv5ThN3j/LsJ+DEe5rs77s5ns2JQKI2ceR5zprjzSRA9Z72usMso81ONtqc71Tr526Os2ZBYFOtYXlbXBJ18qwBcp19/QnraWb2dJqZ39Pxs8ZaYD+DhO4kEeDeU451ow0lAPVEzoPvJMsHVAFxHud92kHtZnTet4+OO+9GvYadVj1TkHXaQe12Glmct7X2VLPYbievgzp/KolqZEmiTpYLgdn+zpJEnSilAtW7yuO8j489AiqHORpbHGaYS3r7xMi33EmUMSeTqFyJwun3ND2HM/iFigg47aNyPptFPiqXPfO2tBs1tOq1bMSEJpQA1BMzB5Xn4JsPapw9eVk+Hc57UXB+fisPK3Gy2xGonk1/NEZPWJ6w1xtiNDcyBsjroE4ewkA+dvj20XIHlSOJunM0wIWt488mW4J55OQ++Z23tRZ3jo4HoFvNOuo1k+WsuXPYx2676nx3qNZwDilU9Z5OVhSATCTJ0YJzOLOPOp64ZPRRR4NjkjVjzCQ4LwxoCUA94TLvHIHN3e7g2EEDTBxUBmfpDjd32DlbgDzB+V53uPDZ5LDlbneAVn02MgaYL+3Krhv33z//ns61GjAmzyG83xtO95BDrve0P302M3tyOqi97ulnkyuwmT6bOXtyMedHgxFGY3tsDc+cd4azpjecrhOH3U4D+72huLZwur9PsLHzX5PEfm947D0BGfd3T5eP2u8uXjeFAS0BqDectjBHdrnfHU5/v8Nupuxyf3L//LnOaQclHZyPxxb7vdPPJpf2aL87PPZcgHnnLXvYuEBi3h6nLcyRuCxbw3ePBuLyhL3JGt49tobzOu/dU2s4l/MeomYqpnHeFkCeHV60hoG8icvpNdzA2AIHwtpCdw7Pr5vdjAzosrMvB2Gzt2Dd5PJRveEI/dF48dlXGNASgPoip7ZwYZC1lSeQmG7u9jx7lMd5u0N/kVPQ8p5mZW/Zw8axADsLgvNc7NG59ukS3XBs0R3IyhNcYLOzwHlLJ3XWTpKoBc47hz52bxJkzTeT5ApsXKJwak+18wQ2+73hsaQF0JVgdpo1NGpG1dmXyxYA2GnlTzD3F/hLZ09hQEsAGoRcGd2i7PJ8p4n+cCx+q81Bb4hm3aDdON6RD8g7qEVsrLMnBzt8sDBRyOOgFiUKgJNu5HDegwXOO8/EAheczz+bnVYdNSOvj+0OxhiN7alEIZcGdHFFIa/zPrluzm/pSzDF9/eC4DyntnBvkY/aamK/Ly9P2O8OsdOqH9fqZkow95ckUbn0sdpQAtAA5Dj4rLXY7y8u0QEZnEJviJ2TDEm70hZmK9EpYocXlQvd1ySxv6DMDOQ7+JaVL4EMiUv3NENSOW/5Z+NYztP7u7rzXFqesDDZzaSPnTlvHRMCqmdzmsUHMjwbF5yfrCpkaOzrD6smy0U+ytpZsCyFxRWFPDKSRXIAZ0+OBFMbSgAagBwH32F/BGtPl1KzsY4LAolazeBcqyHODu+tYUDFnfcCLV+u0q6m0s+yMvOsa1eePTrXbqA2x5AAeZ7NKp1jjtFHqlg+RWsYmK2bk7YA+ao/O+36sX+vAhtZWw6WSSUyVTgWvadOs45WvZbtPS3yC4UBLQFoEHI0BiwvM+cr/Zzc3M4ecQ3oks19vtPEYGTFRx8tDrLyOqiFmbewLb3hGIORXchUA3lKu4vXcFOexV/B8gGZ9vcJli/X6CNt5cv9riINaG+IrWb92FxdoGJE8/koHWt4EVNd2aMrwTzoV1MeJNEdjLJcKLEMJQANQA4GdBkLkOs2hUWHsLMnG8u3rNyS4dmcfE8709FHedij+TIzkKdEt0wOkKsz9aB/OlGo7JHXzy0LsrLpY7uDUwmdMQbnM5QM9yf/7YuSuj3h0UfD0RhHg9FSfWyO0u7yNayHqZ7/uhQWVaKcPdmC8yX+e1/Ynm/8R7+Kf/zRZ0V/5yqUADQAORfw8gaODPqaJZs7V5fsySArm95nwbOZjj4S74I/LcQH8tzMtL5El8F5L1jD53MwoEsbbfI19i1jh3MF56fLzNW1ipKjjw56lRRCDRGwNMjK954W6c0BHUQAkOeCkuUyMfnKWH84Rn80xk6rvv6bhVAC0ADstBs4FJ73drAkyHJ/z2HPST0q4J6NsF5tifN2f3fPTgK94Qj94el5b0AlETgQfjYHC+QAQFXqHY1l5QnLGBL3933hcUOLxukAbqi4DgbU/T1P+XLRumlMbZXCXm+IVqOGduO4w3T2SdrjmsVOPpt2oxp9JP1s9rsDNQzooqkSQJ735H6fljW8rFlsN8P+nsYSC3xULpQANADbrfp0bIoUlnXRbU+yGMkgC6icwiLnvdNqiNuyv2RDbU+C8ywMyYJns50hcdlbmijIr5tletTtaRIln7gsShS2W3UcZWj6AU4/G/eeJO0ZjS0O+qfLzM6eHO9pEcvnzj5Je5Y1kxhjsq2bpe9JWOc3lfsskB8B8vt7rztYsr8zkCS9Aeo1g07zeKi1PbHvaCB/DpcAdEOxkyGwmR18xzMot4ikmbVVzjtHx26nWUPzhBB/evD15OxZVmau7KlPA1QpLHfe8k5hGQvgDmYNnd5Ataek39Mydnh21giu4f7iigJQrRvxs2YJk5Vjfy/TmwNu3eiQkWy3GuIVjmUl+O22SxTkns104sbSJCpPw+P82EIA0zK45Hmz7OKWnCgBaABc0Cd78C0v/dRrRnRDzYT4pzsM8x3Cp21xB59korC3RA4AuMxbRxlqevBlSKI0lcUWMtWt+vT+cTFbFlzs4GwBZJ33stFdwMR553hPi4KsHPt7BXuUK/leluwCeRLMk/ZsN+WDrKPBCGO7pBLVypBgLnlP2xkkdKUEv+HYyXDwOdbhpBDflX5EM6hVZebJISxZ+lmm5ctR+lk2Tgeo3l0OBnSx83b6WDl7ll2pCEyCc8HAZjxefLEDMFs3R4K3iy1lSDK8p1WJwk6G8uUy551D/z5j8ZcwoEoSzNn+lg1sjJklTQ6Neg3tRk32Pa2pROVgQBf6qLZ8cD6rtpQmpI3EdobSz153iFb9tBAfcE5BcHP3ly/gnXYDw7FFfyRX+qkaok7bsp1F57iYqQYyMqCLguEM2uFlzWJA5bQkS7uVPm6ZVnfCHgnrYxfZ0m7UUDOyQdYyOQCQKchS5LwPVgTn2626qE+w1i5NMHMk3y5ROJlEAfLrZuVZM2mUlRzftYypzsOAOjKrMKAbiTzly8XdjkDlMCWd96zUsqDs7Uo/wrqshZu7KV+GWu+85YX4y+QAgDB71BugUTtdZgbkJ0usWsM5dJfLZCTGmEljX4ZGGwVBlrNn2X4CpNfwKmZNNsjqDccYju3KJEo66FvEDAPy62YdAwoIVzhWdOQDwhrvJRN1cqIEoAHYznHwLQmygAkDqoTlmzVFyeqyFj0bV/rJonNc2oQkL8RfxA7nYY9G2FnCkEjLSJbNlnS2APLly2UlsW3hpolVGrGddgP90Rh94eaWxZrLDDKSJRc7ADNmTQrrgmFAmAhY8p6cPTkY0IXrJoOPquYxn7al06zBGNlqi/vvLgzohsI5in3RzT06pa1xkNYWuv/uRYNsdzI4hWUzSYEJsyYpfp84oO2FkgDZ0k9vOMbYzhz1MVsyid+XrmFhecL0PS14NjNmTVYSsLWEkdgR7jx3/93bzVWjj+Te1WF/8brJYcvRYIROs4ZabUGZWTjBdGt4q7kiiRJ9T8t91Lbw+K7pGl7oo+SrdEdLns20wqHk2eRCCUADMNOASh58erLLo8nv2lrkFDKUfo4GKw4+YadwuMIpSJd+VjmoWSOdbGfqojUDTGQkgg7BBS0LHVQGhuSoP5xKRk5iW7jzfNX+lpYnjMcW3cF4YXDerNfQatREiYAqGF5WZpZlQA+9kijZgHjZ/j4nPB3lcLAiAM2wv1cG58JNUUf9EYzBQilULuixZAOQQyN22B8tDCQA+dLP0WDFwZeh9HPUH6Gz5NlIB+eH/RGadXNqJikgX/pZdQh3GnXx0s/RijUszYC6Z7M4yJJnSFY5qBxrGFidYEqtm+5wNVsj3dG86hzeaddx0Je73nZlEpVhvmRFBKzQgAr6qO50Deto0Drqj9BZWsFsCCdRI2w36wulULlQAtAAbLVkD2FgdXYpXfpZxfJJl36stUtLdIB86eeoP1wRZMkGNquYrFrNYLsp3Hm+pkQnysauWsNZGNDVDioHs7aYxZdNvlfZAsjPdOyuqLbstBuwFugOZPSxRyuSqBx9Cof94QofJZ1ETYLzhftbVuM9HFV3ry+StACuQUu2YrhM7pMLJQANQKtRQ6teEy9fLqfwhRnQFQyJdOlnlc4RkL8adDULIBvYHPXHx37vKXuEO8/X6Rz7wzEGQuO7fDRi0knd0hK8tLZwMJpecLHIFkAu+V511gDyt9qsZqplk++jFWt4K8fw95VVOtku+NUVDlkGdFUlytkjLvdRpP8ESgAajKrx594s/aw6+KRLP93BOoZEXvy+qlnMfY+MLctLdID81aArdY7CN7esZI+EHZS1dmWCKT2GaVnDBCB/9e+6hgnpq0EPV8h9pOdDr2KH6zWDraZwcL5uDSvROUpPueiuSaJyNGgt85e5UALQQGxn2FBLF3BLtvRzOFivc5Q6+NY5KOkByKv0qLOxMbIa0KX6WGEGdGWQJbxujqbB+WlGttWooVk3cg5qsm+XscPbkwRTClUStbxcWH2P0Htaxx6JN2itTzClGdBV7LB4n8IKH9UdjDEUrHAs0znObhdT4qMyVOmWvadcKAFoIHYESwrrGJLZWCi5g29ZUCNd+lnVMAHID0DWxICuYqqBPMzaMp3jtjBz7qMt1MNUN0Svtz0aDNFpLnYJ0leDumeztVQ/J82Aru6Cd98jZcv8711kj1RwPhpb9IfLdY7Ts09qAsgKuc+sT0HLWaOnSpcLJQANhCQD2h+NMRrblc4SkD34li1g6dLPqmYSIAMDuiK73BFmQNcFoNIDzlfpHKXv9T7qL9c5VvbISWzWJlHtOkZji57Q8HdVDOg6lk+4C74aCbWGAZVqMhw4jfcK7bCwpGWVVAKQbMBcHmS5fS/H4i9vBgUmPkoJi58LJQANhKQGdHYIr84uxRjQwXipg3L2yB98y5tbuoMqgBexZ828N0Be/L66M1UHi78t7LxXlQsre+QY0KM1Ombxpok1pVRAnqlevm5kWfyVEzfEk6jhynmO5wQlNlOmWok8YdV7MsaI3ry2thl0woDKVTjOaBe8MeadxphnjTHPGWPet+Dr/6Ux5lOT/z1jjBkZYy5PvvYlY8xnJl97msIeTmw16+LjNpZtKLeYulLljRWjhgA3GkXHwSc9FupwsGIM06R8KSeVWF2i2xJk+bqDMaxdkURJs8OD5WxsZU9dVNICrGayAMGmiRWJQr1m0GnKXW+7tsKRYQTdukRBaqajs2XZPEfJ4HzdexLXv6+QiQGyusu1Ept2A0PRCscQW0skNrmQbI0xpg7g/QDeBeAtAH7QGPOW+e+x1v7X1tq3WWvfBuAfAPhNa+2tuW/57snXn0i1hxudZl0s4FvHArhN7zItCXtWsUdbgs9m3cHnNIeS9iwLstqN6t7fnvC6WaU9EruVacryLT5q3NqWvCVq5RoWfDbrdcyyCeY6jdh2qzHdd9zwSb6PBjLskZNBLHtP7t+PxJLdNe9JUAq1flqBezb5S/DOHvGzb43/lt3fZ48BfTuA56y1z1tr+wB+HsCTK77/BwH8HMHvzYKtpuAC7q/uZpZewKtKqUAV9B1JdeR7BuddoeB81cFnjEGnIbtuWit0jlvNuphDWNcw4da2XNC3vJkEqJ6NVKLgNGLLmera5Pvk1s0q9kjy7Ft13aSzBYAIe7Q+GHbnsNxZsyqJ6jRrKobiV7ZMno2ojnnVs5GrYK4jArStmxygCEAfAfCVub+/MPm3UzDGbAN4J4B/NffPFsCvGmM+aYx5L4E9rJBkSNYffPIOalUJfqtZEw2GAQ92WMAea+1aVkJ63aw7hHvDMcYC+th1zSSzQzi/zhGono18kLXEeTdk2aNV+jnABTZych9guc7RMeoS9qzT4nca8ufwsq5zQPisWZMouKkKUmu4u0bnKLmGvSuYAvYMRmMMx3al/CgHKALQRTTLMs/2HwD47RPl9++w1n4zqhL+jxpj/r2Fv8SY9xpjnjbGPH3z5s00ixMgyx6tcVDi7JHCEryC4Lw3dDrHNeyRoFRi1UHj7JRgj7yZaiXBeQ6Wb52MRNKeVeywtPxoq1lHbQmLL3n2TYOsJe+pUa/mx4q9pzXzHDvN+nQIOrstyva3z9kn9Z66a9lhueB8ndwnFygC0BcAvGbu748CeHHJ974bJ8rv1toXJ/9/A8Avoirpn4K19oPW2iestU9cuXIl2ehYyLJHw+nvXIQ8GpI1m1vJjLWpg5Lc3CsOPln2aPncTUA281538M3ek2AZatV7asklCusclOT+Hjudo5YSvEdFARDa32vG6QAT5lxM57iaqZZNotb4KPEkavm99IC8/KheM2gtuLgFyJREnUEN6CcAPG6Meb0xpoUqyPzIyW8yxlwA8J0Afmnu33aMMbvuzwD+CoBnCGxiw7RkOBRYNGtGDUkewsCkvLGi9CNavhwM0arX0FiyuafOW/Q96ci8fUqpgMzBt+7KVHdA34ssvqYSnfcaljprPKQSgI4kCpBfN+sSheHYYiBw+9C6SQ5bgkQAsP62H2kWf9mtTIBsgjmbGqOrCz45HLbWDo0xPwbgowDqAD5krf2sMeZHJl//wORb/zqAX7XWHsz9+IMAfnHyghoA/hdr7a+k2sSJ+Q3FnU14a8SkdI5rAxu5zb3OQU0TBYGD72i6uVc3t8gefKsTBUCWHV5d2pXVDuthjyZNho38TQrrzhqgWjcv7/fZbXH2rHtPgKwGdF1pV3bixvrgvDsYLbw2mRK+MjEJImAwGmMwWq1zlJaJraxESbL40yqdLgaUxBpr7VMAnjrxbx848fd/BuCfnfi35wG8lcIGKYiyEmu64Gs1g1ZDhj3qDccYe+kclcgBMjAkqw6+TlNuvmR3MMLF7dbSr+fIvLUwa+u64DvNGkYT9ojbebu5umt1jiJJ1OqzBpCdEHA4WMPyTZ23JMu3Yt1ITrnwmEbivm+302S3BVjuF9wIOhEiYI0t7muymmqPJEogOO96VDhyQBcfuwGQnC+5rrwBTDI6gc29rpTqviY1m2+dg9JYolMTnEuuYR+nIMQ6jse2ulJR0brRIpU4XDMSytkj1129WssnWf1Zd7MYID+Cbt0oMUBmBN1Rf7RS5yg5gs4rUZAco+jro0QrUSUA3WhIDn8/HIzQrJuVTIyU8/ZZwFutOsa2usOeG75lKBH2yMdBKdOIAcLB+ZqDWESPOvRbw4AcY7NqzbTqNdSMrmRXS0e+07LJPBsPFr9ZE+s8X3uZgvD+XnUrEyDHOs6IgOX+0s0BlRpBt07SAkhVos5uF/w9BekS/CrHDbjNLacR89IeCWXe6jRiSpy3jxAf0DMhQEo/58tUAzr2tzFGjDlfN9YMcBMClK1hJUmU1P4ejsboj9ZMK5AMzgermWpAbgTdtNFm1YxUwQsM1l56ITghwF16sS6ekEYJQAMhOV9y3UgJQG78x7qrL+e/JlUWW9X006wb1Gsys/lmGtA1w6GVXEcnefB1ByN0mrWlOkegKqeKDhTXsobXvCdAnj1al0RJXmCwrpkE0MMeib0nDy2fJhlJZY9Mk6EfESDpv1ffLDa9wEAkOF8vT8iBEoAGQra0O167YKRuH1o3EgqQDc6rBo7ly3fGHkmwsZNZeB6lH26Mx3bCHq3vgpdqQlq7hsWDLB0TAnyuxpNaN1Odo0/QJ9A0sXZclmAHcXcwQs0sv5UJkJPYdAMqURpYfECuwuE7SgyQ07+vsqVRr6FVr8mMCiwl+LMB2dLu0LMEL9fN7FO+lGIl1gU2UtpCr+C8WUd/NMaImT3y0jkKl+DXrmEpFj+APZIJ+jyCc6HA5shnfwuOhVqr8ZZsQpqcNat0jlIBqC9TDcjpmNcyoEJNSCEyMang3IcdlqxgliakDYdk+XIdCwAIOm/PZhJArrS79tm0aiJjY/x0jjK6LF+9GgB0BXRQqli+Nbe2AMIMiUdwLpZE+exvoaDP6RxXSVokR9CtK6UCcudwyP5W46OESJIgHyXkM9etG7HEZTBCo7a6oTkHdFmzAZBkj7yyy2Zdz20/gpm3N7MmxIC2GjXUV+gcpZyCz7is9lR7JJQorGXxhWbZToJcLU1I3cFYTWDjkpF1TUgA/7pxDSKdFRIbwM0l5U9ceoPR2htkpEbQubPeJ4kS03gvuUjBQapPwZ1962bZzn8vqz1DPcG5zzmcAyUADYTkzQ4+GZTcHFDnFPIffNbaaXPLKkgFoL3BeCooXwapzNu9p/aKZ1OrGbHGgO5gvFI7B8iVmWcOapWWTy447w3Xr+GOoIMClt/KBMg5b59AwtkjE5yP0F4TZEmNoHPPZpU9kjKS3tAviZLd3/l9VHWZhV0bnIut4cF4pU/IBX0WKYfkzQ5em1vaQa103kIlurHF2K52lgDQFsy82x6lFve93LbM/75lEAvOh57lS0H2aJXzlmZA1wY2golCq756WoEYi+/LgAqdfb3BeH2iIBT0+bDD7mtSQd+6wEburFn/bLaE3tM0UfBYN1Ln8LqzJgdKABqIaXe11Ob2YI8kh3j7lDf4WT7/IEviEK4ShfXvCeB33r1pkOWxboQy73XPpt2sw1r+2XwzFn+F8xbUgPqy+DJr2OOsEdIx+7B8gOwFBj5MFsD/bHoeZ5+7wEBuf/t0wfOzsdPqjwc7zH8OT84aj3NYRkay/hzOAX0WbQAkMzqfzFviZge3uZddueZsqb5XpsyspQTvo4OSGhvT85BKuK9LNCF1h+vZYXHnraDMPByNMRxbRRWOsTeLL7eG1+1vOXZ4/X6SkW74SKEkSZKex9nXFrrCtTscTec/L8OUHdZCkghWMNfZkgMlAI1AR2i+pK/AG+Bnj3rDqtFmZYlOSF/T8yilOnu0bG6pzNuHqXZfF9E5+mhAhdbNrLS7/Nk06zU0BC4w8G20aTek3pOHHlV4DfsExGISGw8mC5BrMvTZU1JBn08Jvj8UGEHnQwQIvyefxEXsPa1ZMzmgz6INgMRg3VmjzXqNGCAQ9Pk02gjd7ODTaANIJgp+jTbV9yphh4WGQ/tqQAE56ca6dyWxbkIYEpHyZcB7EtMx+zRwiFWi1gQSYsl3QIVDUaMNIFDhGK5n8cWS3akcwOeskdIxFwb0TEDi4HONNmrYI49g2N3soCW7lNTP+QQSgKD4XYnz7g7G3iw+/7NZ32jj7JFiY30Sl/5ojCF7d3WAjllJCb4jlET5NtoAkqVdH2mWTCXKJ9kFpHzUOpJEKNn1rESJTQjw8FE5UALQCEg0cPhT+HKz+XzGOEiM9+n5bu6WpEZMR4nOt7QrWb7U5KB81rDEuglJogD+SwN8umRn70lPEiXV3OL/noQqHArG+/joUee/zq/xXl+JqtUM2g3+6y97nlU6USKgNCGdDUjM5gtptKm+XyC79BjjIFHa7XmWN7aadQzHFgNu9iig0UYscfEIJqQabdZ2Mzdkuqt9SqmAjPOerWG/0q6EdGO9HlXuPQF6mgx9Gm1mRAD/WePD4ks8G289qqSP8tjfnSb/7GxvBnRyDrOPoPP039IoAWgEOg05hsSXlTgUCGy8nbeiRhtARh+77hBuC2l1fVkJiQ5i70BCbELAejYWmDBr3EyWb/lSMHFZ56CMkbnAIKiBQ2oQvZIKh09DFOBIEh06ZsngXIuP8pm4AVTPRuYCgzKI/syg06wLdJ37N9pU35+fIXH28AfD/mVmQEKesP7gm15goISVENE5BpaZJRIXn2HMEhcY+M+6lJu9qcV5h16mwMke+TbadFpCzaAejTZAlWD2tCSYgkSAV4IpEpyH+e8uc3BeBtGfIbQFGdC12eVkUXEPs/VdwG2R4Nw/uwT4n41Po40xBh2BkTq9oV+jjQxTHZgoKCgzAzKNAf6zLuW0wz7Mmoi20LNBy8kTOM8b70YbwSYkPUSA37isLaHg3OfCAEBG/+7dpyAanJcA9Eyg3ayJBVm+pV0J8bvPwddu8Gfevtmle3b87LCvU+BfN76NNu1GZQsne+SbRDl7JfaUn4OSeU/V79Ix59dnEL2zh/09+Ta3CCTfvpIWl5xznzW+gUSnURepirnftQrTZyPgF/zPPqlnsy755vdRo7FFf1SakM4MOg1JhmR9aXf++7ng02gDyDgo30YbCefte6MNUB3E7A7KUwflrr8cjPgCUN9mMUkH5fue5PSxfvtb4pYoHwfVkqj+eNxoA8gk376SlmbdoGYkEgU/DagESTK7MMAvyOKe5ODbaKMpwXRnH+c0B9+LW3KgBKARkNzcWhiSnkeZGZCSJ+hx3j3PciEgdfD5lVKnz4bTeXvfaCPDgHo774acg/IPznU0cEhIbHwDCYln45soGGNEEhff99Rp8t8x3lPGgPrqY9uNulyVbu3+5mdAfeU+OaDPog1Ap1HHaGxZh0P7NtrIjUbxL+32tcgTGvyBjW+mW9kjMxzaN5AAuMuXfkx1q+5YfB2NNqIsvgJ5gm+jDSBXvvQ9awBe5+07+B0QkmYFSKG6Q94GLV99rMQ5DPhLoSQSzN5whEbNoFH3k9Cx+ihPMisHSgAagbZAScGXNp9pj/I32gBSztv/Rpvq+zlZPv/sUoQ5D3BQgI7Mu2KPhNhhX+etpUGrwb+Ge56lVMDdsMMdZPk1PEpUf3wbbYCJ7lKCqfZMFLglNv5JlFyVznfdyJzDAWtYRMesL9zTZ9EGQKKkoJEB9c68ldxoI5JdBjCgIg7KWwfFrz3yHTXk7JEYbebHDsswWYBH+VJkDfs1TABS7FFYEsWaYHq+J6B6VzLNoCHBOf+z8a1Ecb6nkEYbmQTT318C3GvYrxKVAyUAjYCEZs130dRqBq06r1NwJTqvMUwNRYGEQGeqb6MNIOWg/KUSAPOzCWGHBZyCz402gJDExvNGG9kys5YSvKeMREJiE8AOVxNA9OiYq+/Pn3xLvCffsUeAVCXKc2yhQAVzxuLrC/f0WbQBaAuUxXxHDVX28DqFEB1U1WjDH0j4Nv0AzIewZ6MNIOOgekP/ZjH3/VwICmyEGvtCmHNOiY33jTaCTLWW5paQRhtASEbizeLrabSpvl8iwfRp0OL1C70AFr8j0ITU85T7SIxhmr6nwoCeDUgwoL7D1oEq+NHioNqNOgYji9GYUXvk22gjIpUIe09a2CMRfWyoPIF5Fp5/o42MxMYnkJg2aCliqkWakDwrCu77ueDbaAM4Fl9Jo41Qlc5nXBbAn3wHEQHNGvtIKN+ZwxJjmEJ0zNIoAWgEpBhQnxJdZQ9zdhnYaFP9DO+zCWu0YXRQAQJvGQcV2kHM6RQC5QkiSVQIK8G5bvwCCQmJTYhWty2gY/ae5CDA8oUm31oG0Uv5KF9WjTv5Dmm0aQtNsdHSDFqakM4YpLJLH8cN8M+XDGomERiM759dyjEkevSxoeywRHCe33n7lgudLfM/w2WP71iUKjjXIffpiDXaBCQKAh3EGubHThttPBuiAH59rK+usNNkZkADKlFSPRxhMhIdPkoaJQCNgJSD8qXMuQfrBmWXrrTLnNH5HHyNeg2NmlGTXcroY/3KlxLaI98bbZw9Eg4qrIGDl1nzTTC5E5eQOYEiEpvAQfQSI6o0zI8NGpcllGD6BjXtRp3VJ8QkmLzj+fz2d0vispTCgJ4tiNyw41miA/gbOHoh+hoBBtTXQQH8TiG4RKekgUNqEL13iY7ZQYU22gD87JE3A8qsnwtptHHBD+dlE6pkJEEsPi9THdJoI3JNqeeoIUBAAxqRYHJLs3zWTL1m0KwbNQmmNEoAGgFtDop7vmTILDyZkkJA+ZLZKYSOsOmPxhgzsUehN9oA/Noj3xIdv4MK0+oC/E1Ivs6bu+wd0mjTkUi+h74jbJQ12nBLoYKYagEplGeZ2dmj5sKAe85/lwD0TEGGAfUrpQL88yVDZ+EBAuXLkMCGORh2v2cd3AHQZxK/hzXa8Hdf+gYSzh6ZeY7+LB/3GKYQdliEPQphzhWwR05io6bRRkwKpWNEle9QfGePFimUVPIdUsHklqwBfsy5NPRZtAHQlkHxl+gCRg2JDNb11x7xl+DDSnTVz/AcNiHBsNRVnCElOonypd+z4R/DVGm8QyQ2OhwU97oJudHG2aOl0YZ7vE9UmZk5cfHXMfNOuQgdRA/wjz4K0cdyv6e6x730OaDPog3AtMNQTYlOSuAdMvxdhz62xV2CD2i04e5MDSm1NGoGNaOjExSQCSQAX/ZIqEvWN4lidlBBzpt5bmGILQD/eJ/QRpv+cAxreSQ2cZMceP2C//7mf0/V7wlp0GJeN0FJFPN7Ush+AiUAjYKU9sj/4BMacbGRI2z4m5BCAgmAj5UIeU/GmCpxUdAJCvCX6GJYfO7SrveUCykGNCg457EnZOwRULG23APOQ7S6AH+CGXbDDneCqWRUYAQDymXPOGBcVmWPgI9SqP8ESgAahVa9BmP4S3T+ZSgZfU3I7STsJTrvoK+mqpQK8HWmhg4cZtfHBmjEXImOiz0KGyWmZxA9INPA4X+jDW+CGcOAcpa9wxpt9CSYUqOGgqZcqGkG5X02IUx1ZQ//nN8SgJ4hzO62VcKsMd8iEzQLT6hE5x/08TqoUK0PwOigAgcOs2uPQnTMYg1aOlj8oC5ZbqY6pMzMLLGJSqKUOG9ufWzINJJm3VQkiYJxWYDAhICQu+DFpFBKEswAHbM0dFq1ARBxCoH6Gn72KKS8wZRdBnb0cTuo0EYbgP/ZhDVN6NAxc8taYhq0uPa3G5cV0sDBHwz7lryFWD5F5cuQ9wTws8M++9sYU2mHmdnhoGZQZpLEt9GGO8EMJQLYLzAIeE/SKAFoJPjH+4RdxTm2wJBpvmRIiY7dQQWW6DrNOvPQ7DAmq/oZJc9GoPvSn1njLYuFzmsFFJWZ2QOJcAZUg84REJieEKA37zCv4ZCrbQHwX+EaOo+ZmSQJISWqn+F+T0pIkgA5nzR0WrUB4Na0hOnnuJ13RImOXeeoQ1/TGwbMa2VnQEPZI4Huy1AGlI1Z8183M4kNdyk1YBA9t5Yv8D2x6+dCGjCVNNpwJy7TBDOo+sPYaBO4v60FBiM+kiRU7sP+njawUVYaJAGoMeadxphnjTHPGWPet+Dr32WMuWOM+dTkf//Q92e1grOrL3gWHjMr0QtwUK06dyDhPwvPfZ+WDkN+9iiwBM88my+EAeWerRsyLgvgdd6hN5PwM6DhLD4/A6qjfBnUaMM8/D103XBOlghvtOF+Ngq1ut6yFgkds06usZH6AcaYOoD3A3gHgBcAfMIY8xFr7Z+c+NZ/a639a5E/qw6cTsGVjL2dN7emJYABrdUMWoxBX+jBJ+Ggzm81/Wxh774Md1AHvSGLLUB4FzzAW4IP0UFxOu+YMvNobDEcjVmGSXdDbl1T5rwlmpB831NHiMXXMPw9lAiYb/zZ5bAnQLLGX20JbAYVuMDgLGtA3w7gOWvt89baPoCfB/CkwM9mBWdZLLiLjrszNbCLjrPsrU0jFnrlGsDPgAaV6JhZfD0NHGEsQLvJx4AGl5mZrwbtBd26pmwQvaJGm6mOmY11HKERcKMN53i+WAaUU3fpy5o7iQ3fewpNonivcD3rGtBHAHxl7u8vTP7tJL7dGPPHxph/Y4z5+sCfhTHmvcaYp40xT9+8eZPA7DRwHnzBGhLmjK4XcB9yZQ/js4koXw4n7BGXPeFjmHSU6Dh1zP0IphrgLV+GsADtBt/tYjGlVIBz3WgqXwZKbLiH9Ac22gC8DGjIPEdOmVgsSaJBJgbISGyCLpJRIhOTBkUAukhUdVJp/IcAXmetfSuA/zeA/y3gZ6t/tPaD1tonrLVPXLlyJdZWMkg0KfgfwvyZd8jm7jA6hZBxOs4WgG++ZEh22WFnskLXDb+D0lIWC7kwAJisYWYGNPTZcDKgvrbUagatOr/EJkR+xPWerK0abUJu8wJ4gyxfWwDeBDP0PXHPQO4FyEgA3safUAa00+QlSUIaZaVBYdULAF4z9/dHAbw4/w3W2rvW2v3Jn58C0DTG3O/zs1pRzQHVUobi17SEsUe6ssvq57gOPv9nw92gFTILD2DWMY9CG6J4GdD+cDx9/r72cGu8W94BKC8D2huOvW2p7OGTtUz17wpm2bo17P+eeKVQ/Yj3xL6Gfc8a5ukovdEYrSCNN5922H1uqx5aVeB7VyHrRhIUVn0CwOPGmNcbY1oA3g3gI/PfYIx5yBhjJn9+++T3vuLzs1qhiQHlLl/2A9kjTu1RP5jlY342I//N3ajX0KgZRUEWfyAR6qA4WQlfjRjAu7+DWT7mZxPC8gG8zHkvdN00ahiMLEYMM5BjmWrWNRzwnjgbMN3eCA3O+RjQcHZYT/LNL0/Q2oSU3AVvrR0aY34MwEcB1AF8yFr7WWPMj0y+/gEA/xGA/9wYMwRwBODdtppIu/BnU22SQJuRAQ3tgmdn+YIPPokSXWDZm+HZWGujnALnugnJdCUcVMg4HYCTPRqhHRCcd5p17HV5JgTEMqB6mDW+sndo4uLWTX84xlaL1smGJrsSRIA6plrLswkgAgDeBDN2DXPYMxyNMbb+Z400kgNQYFpWf+rEv31g7s8/BeCnfH92E8A5/iO6RMd68AU2cLAffPnnzw3HFtb6HzSVPbzMWhgLUEN/OIa1FpMCBaktQBiTNf9z1OgPx9hu+R93rA5qFMkecZboPMuFAG/Zuzdh8WsB81qBKjjnCkDDS/A6EkxWpjpansDI4gcmmNwEkvezYSRJQmUk0tBp1QaAtwwVP2ONx57A0i7js4nVZXEwNqEHjbNHi9aHs+wdLJWQaELSwg5HNhnyyhP0MKChbCzAu4ZDJDZ1TonNKELHfE+RJHqIAPc7/GzhezahbKw0dFq1AehMNCQcd9tuepMCZ2dq6LPhLO3GBKBV5s0pxA97T4CO4PyeKl8qam6x1gYHNpxTLvqjUeB+ckkUvT2hWt3qexmnJwRcCALwDjjXpmOOqf5wEgE1A+9m0OmzYVg30/d0hueA3pNgZY9CHRR7k0KgwJu1RFcNYw65UrH6OcbNHeAUWG+JGoQz1QC38/Zkj2oGNcNYoovSiGlJovScNQBvkBUzrQBgKl9GsEeszHnwGq5PJTbUCK9w8JIkMfp3zgQzhsVnJUkKA3q2wHn9ZWiJjvsqzpAbbQABBxV40AA6SnQA7/y5/ii001vAeXs+m+p2Et7pCcGBBPMcUH99LJ/zDg0knD2sOubAgeLVzzE8m0CtrrNHT7MYv8RGDUmiLMEM7QsAeEmSogE9Y5huKIbDJlTg3awbGMNYoovqrtZ1CLNklxEOqsPqoEI7vTmdd4w8gXd6QvB1ssMRC3sUc2EAwDOIPtQWgPc9xSQKAC8RoCWw6Q1D5QmMz8aNYVLQZDgcjTEa27BGOkaZWG84CiICJN6T1jFMJQCNhIT4ve25oaZ32zIENsOxxdiGMiQ13lJqRImO4z2FzmsFmBlQhQ0cwddfcrJHQZ3edVgLDEY85ctWveY9eUCCAQ1dN2pYviZfgumIgPDmNcZ5zDEMKCdz7pnUVeudyZbAuZsA/219MQwoZwn+LN+EdE+ipai8Acz0PlpsYdvcg/ArFQEuBjRWP6dnDBPA5LwDB1UDzNMTosuXPE4hrtFGy/5mZqqjgiw9z4Z11JC2ErxnoDUlSRTYAvDP8Q6VtAB69rckdFq1AXCLnSPoi3HerUaN5b7zmM3datQwtmC527YXyIC6Z8gZnIeUvVWNYWKczRfVwMHErI3HNlwj1uTTx4aWUmdXuCrp9G5q0jlO3hPjCBst96+HTytgHO8zCuv0BvieTXSiwCix0cLilzmgZxScHcT94Tio0xvga/yZiZjDRpHM/ywlQofiTwNQzuBcAVMNRAjx3S0yI77AJjiJYuz0Dgok6rzrJsQWY0w1PUFJgsm5hkPv9G4zJpixwTnHmgFc9Sf87ONJosLvF28z7e8YHXO7UYO1lcSMGrFMNcuziZCJSUKnVRuANiMDGsoCAGB3UCELmJN1DD34ZuyRDgfFOYYptIGDl8WPWzcsAV9MAMrYZBiaKAB8CWZMIx3XewIi1rBAhSP0vGFNMJV0V1dBVlhjC1eCGZvsAjr8NytJUhjQswnuRRMcgDIdfLEOqvpZjs0dNpPU3U7CwfLFln76SkbYiOiYQ+UJSrR8LWYGNHQuX5sp6Itx3u1GDYORxZiBPao6iLUEWWGd3gCfjnna6a0kyIplQDXculZ9L6PuMtB/c5IkZQ7oGcWsM5WHNg+lzLm6q+McFO8NO6HPRlNwzj9/TolUYjRGs2687/QG+Ji1WDYW4HPeoTeTcK3hpGfDJU9QwoBGMWtsZ01cojD/s6T2RCRRrQaXj0ogSZjsCWGHOUmSmGcjCZ1WbQC0MaDtOg+zllTe4GAdA8tQAB8rEStP6I/4bieJclBaSnRczjslieIq0QWvYR7nncIO82m89QTDQMT+VnLWcI7vCmWqAf5G2SApFLeELjQ4Zz77yhzQMwb2MS3B2aWmg49R/B44hgngZ49CnTeH+N11euth+cI6vQGBICuAHdakEQPcGlbS6c3YXR2v8dbT6c3lEwBNUqg4GQnnHNCYznMNY9acPVoqmJLQadUGgN95h2UsmvQ17OywsuA87uCjtSeuRKeL5dPEgLLu78BOb2cPaxIVIt1gZo80TQiIaQblfU86mgxDk12AT8ccNSqQmcXXIxMrXfBnEuwaMXUHnx4HpUX8rskpxBw06lg+tvfkrqOLaW5hYPkGYY10zh7WBDOieY3LYcbJj5gabWKSXS3NYowXGPQGehpleylrmOldqUlcBuE+ShI6rdoA8M+63FwHxXrwRW1u3gatsKBvMnuTOgCNcFD1yaxZrjmgcUGWrvKlhi5ZZw9PohDR6c30bGLu9AZ4y5chczcBvgkB6nSOo3CNN7cWP+qKZqZGWTX+O6IZVBIlAI0Et4PSwoBOO72DWD6eIMt9ZtT8OUYdlO+d3gAfsxYTDLvv13QIc5W8gcgxTFxrWAmzFiPd4GJAY+70BnilGzEMKEDPrJ2JCodGiQ3XbX1KSJKYNSwJvZYpB6eGJGYME3eHoQYH5T4zboi3DrE5m/OOFJtzBjaxtlBPCIi5DYSbxQ8NsthuOot4NmxBVgST5ezRonPk8gvu/IrTeJ/tRtmYBJNrAoi1Vh9JolT/CZQANBpO/K5GB9Wos94VHbO5qQ8+a23cGCa2ICui05uJOY/p9K6+X49+zl2PNxgRly+jruLkZfFjZihyJQoxnd4AffkyNoni6jzvDeImOQD0Z1/MGm7Wq8qMmikXjO/Jfb4vWkw+Krbph4skCZ1JKo0SgCaAS/wenV0qmoU3/7NUiB0pwRZkRTLVAANDEjlwWJN+jp9ZixjDpISVYC0zx7L4xNrh6P2tiAHlasCMCc65JwTokYlFJJjclSgtJElhQM8uKueto7TLJX5PY0Dz66AARvF7ZJkZ4Dv41Iz/iEmiFDnvaaLAcv967JxAprmbSt5TrI5ZU/lSm8SGTeOdILEhtyVmGgn3OaxFxxzxniSh17INAF/5Mpw216TLKkHWcnDpstLKlzzd1THXyQIcDVrhY5jqNYMGw4QA1+kdc0uUFqaabZatska62PvO3c9S2wLoYdZixjBxkiTB1/5yaXVj3xNXJSqiSicJvZZtAFRl3owbKrTTmz0YVqI96kc2k7ifpUSMEN99P8uzSWjg0MIecZQMY7rOAb4JASlMtYbLFNz3s91LH0sEsDFrSjTeEWOYOP1CzNW27mepbQH0yMQKA3qGUTX+6Fg0bOL3GK0P0/V42jRisYOqAfpDOKab2dnDpY89E+VLRRqx3pB+QkCUzpGJAY1pJgF0VTjY9vcoct0wXG/rOr21kCQptnCNy9pkHyUJvZZtADgy7/HYYjCy4QcN2w074d2OXOL3mGHMAOcQ74QSHXUHcUL3pZYxTJzlS2OARuAwZo51k5JEAfQTAqI6vZkmBESzwwxBlrMnptoC6JkQUAXntESAW4NaJDYx57CbEEBOkgzifBRnla4woGcUHDe3RA9j5irtRjBZAM+EgFT2iBqxd3oDOjq9AeZB9JHsEUdpt90Ik5E4e9TomLnWTeSlF4CeDmK+KRfhwTnfhIBwHbOzhz6JCr+cBOAjSWJ6Jowx1dlHvp/ippFwMqBlDNMZBStDEhFkzf88FWIcFMAjqo4dNdRq1DAc81yPdyZ0jkz3IWtJomJvA+Fo0IplQGfMWn72iG2GYsIaVnMjHff+VpB8R3d6c+3vSJ2jJv/Np2MObwaVhF7LNgAqGRIF+hqAh5XQxh5FDWNW1OldfX+d/D2NxjbuTm+mCQFVN3M4C8DRea5tDcfs7+mEACbnHdUFzzWiSok+th/R6Q0wN9JpIUmiE0w9wTnXhIDShHSGwbGAZ4FErPPO76CAKtDS0unNqcsKvtNbGwNaZ5CRJDT9zP88FXqRLEC7Sc9KxO5vztmbMSU6zuRby4SAmACUexpJKDiYNXeOamkyjKm2ADzJdwoDCvA0pxYG9IyixbCAU8pQ8z9PheiDT1FgMy0ZEuuyYsYwcV2Pp2rUkEKWL+YQbtXpr8eLDrIYmTUt7FF8gkk/ISD2Tm/OG3ZCRzA5e7gaHuP1sUp8lKKzj41AKgzo2QULhZ+8uTnGMOlgSKJLdIzsUejBNxW/K+n05mCPoq8F5ZoQECsjYWCPovc325QLRfo5N4YpULrBMSEgutObsxIVFWTV2Roeo6t0Wva3RpKEY0JAGcN0NsEhfk8RmwP0m7sX6aBY9TWhBx8nexTpvDV1emtptOHs9I5bw4wVDi0TAhQG59HNLYT2xOoc1TXaMGjx0/d3/lnVwERiw0QgBfsoRmlWYUDPKDhmrE1ZPgWHMBA3isTZo6bMrIw94pi9Gc+Q0E8IiJ1JyqZzjNRBcTHVQEyTAl/zWtyzoZ9bGJ98008IcJ+lRwoVdw5X00h4Gh5jb9DSMIbJ2cPhLwEdEpvR2GIYce2vJEoAmgCOUUMps/AAPRoSFvF77MHH4BRi7/QGeG7Qiu30dvaTskexUgmuQdWKysypDCiLjEQJs9YfjtGoxXV6AzwMaOgadhMCNNxIBzBPcghNorgqUQn7W40+liE4jyVsJKHXsg1Ae5JBUYrfNTYpRLNHSm4D4dBlxR407mc4gvMoB8Ug3Ygu0XGWoaIbbXRoxDibW7TISHoJQRagx3lz6d+jqy1akijOqzgj9zefPjZ/glkC0DOOdrMOa4EhYfkyuoGD63q8WKfAKn5XtLkjJwRQSzfi39PEKRDqsmbPJoyR5ZoQEF2iY2zQiu2upnTe1troMUxcGu/YMjNA+2xikyj3M1o6vTkmBKTMawUUsfhMiUJcMyg9SRIbS0hCr2UbAI6Mbra5YxttGIZ4RwdZ9OWNmgEa0QOQGYKsaF2WEufNGJyHlui4JgRoukwhuYGD0J7YTm9njxo2lpMBjQ36tHR6M0wI0FSJcvbEkiRcbGxMM6j7eSrEJgqS0GvZBoCTWdPSwBE9f45F/J52CGvZ3FzBeUoAypJ5RzZFaQlAWRKFSG0hi1Y3stO7skfPGuaYEDBrFotkzllm2cbZAnDpY+PGZWlJXHhG0CX6KMpKVORZIwm9lm0AWJi1SG1hjel6vP4oZRD92T2Ek0t0ijq9AT3aIxZdVvQImzr9hIDEJiTKTu+090TfBR8rleCYEJAusaFfw7HTCgAd64YjAHWd3lp0zNV7ipO0ALRa/JQ1LAW9lm0AWJi1QXzWQl2+dJ3eWtijFCE+wLO5NbwnIJ09Ig1AExq0WCYERAbnXIlL7J3e9LY4PaoOnWPKKDH381RI0c9xBedpzFr+Z8MxISB2NjTAM4he21kDhEuhJKHXsg2ANudNzawlBRITFoBW/D5KclA9BWUoZ4+WTm/XKMSjY9YR2KRcpgDQJy6xJW/385S2AJFnDZM+Vp2OWQuzpnFCgILrL1O1+GpkJAz9JLHNoJIgCUCNMe80xjxrjHnOGPO+BV//PxljPj353+8YY94697UvGWM+Y4z5lDHmaQp7pMAy3kfh5k7J6KjF71GMI8OEgNiBw9XP0E8IiC5fNvn0sfGBDR0rMb3TOylxoWVsYp5Lo2ZgDNNZo6jCkSIj4RiztukNWhwTAvqTTm83tSIE1Amm25vRJAn5GMXIix2Y3hOguwu+kfoBxpg6gPcDeAeAFwB8whjzEWvtn8x92xcBfKe19lVjzLsAfBDAt859/buttS+n2iINDvF7fxjX6Q3Ql35SNWJAfOlomT1ph3B+rS7gumQZ7vxNYUgYxjCF3ukN0Ac2qRUFgL60G2OLMYacdeylJLtMg+h3O+EuSdsMxXajhr3ukMwWIG0aCUC8hkdxnd4A/YSAqWQtMsG0tiJJWo3w/5ZFiPZRDCRJPyE4lwKFZW8H8Jy19nlrbR/AzwN4cv4brLW/Y619dfLX3wPwKMHvzQ6OJqRYJgtgyC4T2ViAXp5wZspQHPq5lA5iDn1shPaIOrBJ0YixMGuRjXTOHlWd3lrKzMqaDLmGv6uZEDCIv1+c+uybMtURZw3HZInoREFZP4kUKCx7BMBX5v7+wuTfluGHAfybub9bAL9qjPmkMea9BPaIgSvzjt3c5NllYqc3QLy5Iw8+jgkBqUGWliakNovzThvDpInJmv8MEnsi3xNAP7cwbdZlNSFgRDkhIHoN83V6R2u8CffTOOFOb5YJAZGd3gBfgqkl6EtPFHRU6aSQXIIHsIi7XngqGWO+G1UA+u/M/fN3WGtfNMY8AODXjDGft9Z+fMHPvhfAewHgta99bbrVBGBh1pIcFHF2ScEeUTJrozE6kR19XOxRlPPm0M8ldl9SBzYxd3oD9OVLbSX42CYkgJ5Zo3o2Wy2aJoeUG6sA4lmXikZUaVzDsayaJpkYV9AXIyOpM5AkKT5KChSWvQDgNXN/fxTAiye/yRjzjQD+KYAnrbWvuH+31r44+f8bAH4RVUn/FKy1H7TWPmGtfeLKlSsEZqejw3EF3CDeQVEza6lC/PnPILEnoXypilnjmBCgaIh3CotP/Z7SxprxTAiIHYtCfTe9YwyT9reC4JxF55jC4lNrdQe6WPzYaQUA/YSA2JsDq5/hKXurOfsSqnRSoLDsEwAeN8a83hjTAvBuAB+Z/wZjzGsB/AKAH7LW/uncv+8YY3bdnwH8FQDPENgkghZHd/UowUE1aUt0KZ3eU32NAgcFMGzuhDFMTnNHNSEgpdOb5T1FanUB+gkB2tijWI2Ys4eDAU3rPM8/IaBZ55sQEN3pTXrWpJzDHAlm3Dg8Z4+WTm+uPoWWEo13SjOoFJJL8NbaoTHmxwB8FEAdwIestZ81xvzI5OsfAPAPAdwH4P8z6ZwbWmufAPAggF+c/FsDwP9irf2VVJukMB1hQ8zypTCgWhwUR3kjpaNeVemnPns2FPqc1I58QA8LQD0hIPVGG4B+QkBMiQ7gk9hsOnPOMiFgkkRFd3qzNNIpCbISWPwWucQmYRwe0+zN+ORbT5VOChQaUFhrnwLw1Il/+8Dcn/8OgL+z4OeeB/DWk/++KZguYGKHGa2vadLOUKQJshRtbkW3yAB0TiGpYaJOnyho0jEndTM7iQ3xhIB4/RxtkyFJgxbxu0rZ3xqCYWeLtnnM1FWFFAb0FWVNSNSSAC1n3yYEoHot2wDwjP+IH8PUJtaAkjhvJQ1a5A0cSR3EtM8m5aCp1QyadfoJASldsrRr2CUK8cG5lv3NFZxraDIcJ9zpXdlDLD9KDIYpJwQkNTwyTAhIq3DQVqJSdI4c8qPY2/qcPdQVw0bNoB7RDCqFEoAmgO2qPmWZt5rGgESBNzVDEnOnt7PFfQaJLYnjNjgGnEcfwtSD6LWVmVPYYa4RNgqYtdQ1zJFgpgQS7jOobAEiR75xMaBKWD6KWdXU0qzoxIVhf2tmP4ESgCahUa+hZvRsbjbtUcSgahZtYaLzJi+1JDSTAHTrJnXgMH1naoJWl3hCQEr5kuuqXS0MyTToi0owaYOs2RrWwQ5XOsd4W9xnkNgyfU8JLL4WKRTbRRP59e/W2sQGTPopNiUAPePgYB21dMn2EhwUtfOednrHyhOIJwSkXRjgymJa2KO6mszb/RzVhIBegoPi6oJPaeCgrSiMou/0pr7eNqXTG6BvXksppU6ZNaLmtZQxTBwTAiqdY+w5rHAME1HiMhxbWJu4hokrhppvQQJKAJoMFu1RioMivXkoocOQ2Hm7gERT5p0aZFF1V6dIJZw91Cx+yqBqgC6wUXcTkrIEM/ZOb2pmbTYyRskaTkowaaVZKZ3eHBMCVE1qoZDYEL2nlJ4J93NaLrWRgm7rNgAs3ZcJJbrR2GJIrMtKY4+IWICEwdCA04jpuY4OoGMlUg8++gHnaWUoQIc+lmVCQGJgo4XF55rkoEYfm5REEetjE1h8gGf4uxYWX5WOOZEI0KRjloJu6zYA1M6bhlnLv6E0dXo7e9ToHIknBKR0egO6Mm9Na5h6QsAosdObw3mnBlnUSVTKCDo1wTkxO5yeYFLLj9I6vSknBPRHI9QjO735msViB9HTTwiIlUpIoQSgiWDRgCop/fQUdnprGvKbUoZyn0FlC5BW+qGf1xp/GwhAuYYnwXlsQwkhs5YyrxWYvCfyuZtKGm2UMaAp8xzpE0xdzFrqiCqAtnkt1RYyHXNilY5jVnXRgJ5xcBx8yU6BkD2K3UyNmkGNUPyeIsR3P0c+NDvhTm+AYxC9DnY4VecI6GBAAdrmtXQWv04+ISCVqaYKiJNHialKMJmYNQVnn+v0ViPdSJyMQmqLsiSqjGG6B0DpoJI3N8OGimWOjDGkBx/FnEDyea2JcwK1aEBbxF3wKfIELqcQ0+nt7CFjawg6vQEdCSb1gPNpgqllRFXC2cfFDqdUFajek+v0Tpdu0DUZxq4Z6gkB6mQkCTpmKei2bgPQpizRJZaZ3YGpYXMDPOVLPeUNRSxAKkOiKPOmXsOuXBjT6Q3QrpvprEsl0o0kHTN1MDxKlEowlJlTSt7VZ9CtYUBH9YfClvnPobAn1hbqCQHqLgQZlCakM48qa6E9aFICifnPSbcn3kEBjh0mfjbRWj7iCQEkOiiiRCGVHSZcw84ePWs4rQxF2WQ4TTBjpRvE2kKK91QSzMW2AGeztEvR6Q3QsvgpLB+l/p1EJkbNgEaeNVLQbd0GoFUnLDMTdHrPf06yPYlzxChvH0oew9SkZmwIGm20OAXCNTweWwxGaZ3eAO0aTnVQWpw3R9AX+57chAAtMhJ6iU18Awe5jnmUdqc3ZWl35qO0NBmmdXpTTghIrmBSTwhIrGBKQLd1GwBNDoojsElx3pTdlxQswPznUNijJchK7vSmfE8EWl2Adg0nyUgIGRKKaQXzn0NhT2qCST1qKGnWpZrLFGiDLE3viaIhCqAlAlIrHFq0utr2twR0W7cBoOwg1uagUsuXHM5bzfiPhFl4jVolflfT6U1ZhiJomABo13BsYO7s0fNs6JvXtLHD0UHfJMiimBBgrSUpwVMFxBTnMHWyG08E0E4I6A3SRg3R6mMTnw2Dj4o9a6RQAtBE0G5ufQ4qhT0izS6TyxsM7HCkvsYYw5K4RHd6a2KqyVmA+EShsoduQoC+Z0NRvsx/ZSowY/8pgonpnd7Rkhb6MUxp5zC9Fj99Riqdrjq1Skc1IYCugknYRFwY0LONs+28U8sbdM6bQuANKCrtko73qd5TUqc3tRxAyYgqVeXLxDFMs/IlXTCRKk/QIt2glNhM2djkZjG6QCKlmYTjPWlqXktew9RXpiZcUwrQNhmWAPSMg1bETOOgSA++BIakxdBBnDLEG6AdjZJWFqNbNym3gQC04ne6JIpu3aRNciBcw1QMCZW2MLXJkLJ8mTgHlDL51tYsRpIoKGmUVScT4xjDpGBCwLQZtDQhnW1wlOCTFzCphkSbBjS/tnCceKe3s0dLGYrUeRNcmTr/OalIDs4JJwT0qBgSsmeTtr8pO8/dnd4NBQ2YszJz3FlTqxk0aoY4yErUMRN2nbvPjLVl/nNSkdwoSzghILVKR5lgpo58k4Ju6zYAbgwThfidykGdxQ5DTQLvWZCV5hTUlKEYypcaDmGAiOVTkmCSly8pRlQpuJXJ2eI+h8KW+c+MAanGm2ANk12ZOl3DZ6PTW9UgekL/nXrWSEG3dRsAyuHQFMOY5z+Hwh5NDgogeDaUm1tRYJPU6U2oWUt9NhwTAlIb6bRMcugQnjXWWhLnTdqRn6hzBGjWzfRWJiX7O2UmKUA7IYBM56iEJNGVYNI1r6WeNVLQbd0GYMpKUBx8iYuG+hYZVdllYqc3JbOWysY6e+jeU2KnN+G6SZVKUF+Plxqca5pyQemghmOLccKd3oC76UxLouDupk+3p5tYSnU/S32dbCwoJwQkXwgyfU9Ez2aQNmqIepJDSjMoLRHgkqgyhulMg1JbSHEbyPznUNijpUu2N0q/0xvQkSg4e9SUoRiejZ7gXM8a1tTAQfGeqBNMmjWc7rxTS6kA7QSQsyix0SITo54AEjv9A9D1nqSg27oNAIdT0MIeUYxhohR4pzpLQE95g1SekKzVpWOPUhkSgHhCAMEa1jIhgHJOYKqkxdlDNa2glxpIcLD4ijrPSYJzQv27hnFZFJ3e1O+JREai4D1JQbd1GwDKuYV9gtIuVUY3mnR6p45h0tIw4cpQJM47cdwGQDwcOnkMky59LG2DVvokh+pzaLSF9YQ7vXkclJJbogZpI984tPhJwQRxcwvJGlZQ/aGcEEARZFHqmCn05oCOfhIp6LZuA6Ata6Ea70NSomvQTQhInklKmHmnjttw9lA6KDUMCRE7rEU/R71utATDbg2rkZEQMaCkUqjITm+AdgRdavWHVv+uR2KTOhIKIB7DpIipTp2oIwXd1m0AOAIbDU6BSssH0M3mo9jcJNklwRgmcg0owQgbSnY4lZGleDbWWrLgvEekLUyxhXJCQOqlF+5n6cqXafo5Si2+Oh0zVYKpZLwPtY/SNCGA5qwpDGiBJyg71/qjMYypHE0sqJxCj8BBUZZ2Uzu9aW0hYoeVZN6kjXREHcQa7vQGiIdDJyYKxhhy9kgLi6+JPdI3hklP9Se10xsgDEApSvCTnx2MCALQUaKMhGEMU9GAnnGQb+564uYmcgpUpdT5z0q1h6RJ4UyOYUq/MtV9TrItFOww0RqmKENR6+dSHQL1s0law4Tly9SZw5RafIokivoSjrT3RKd/T+30Buj0726UU+oYJoCusS91P1HZUsYw3SOgpM1TWQCAzilQ6GtIg/NEIX6tZtCsG1oGVEEZCqC5DxnQww5TrWGqTu/5z0pBqh4VoJsQQJJg1usYEU4IoGFA9YxhoggkSDq9iScEJCdRRBUOSgaUZn/TzGPWkmBKQLd1G4BpAEok8E7NWKgZ0CTnTdiZmirEB/Qxa3TX4yXelNKkG8PUH46TOr0BhjVMwpBQJZhp+5u6yVBNhUORzpGyATPZFmVBliYWn4oIAOjWTYpPIJ0QQLC/JaDbug2Ac1BkC5giu1QzioRQ05LooAB3c4uWGYp1MvE7Vac3DYufxgIAuhrpNAVZAF1pd7aG06UbNOVURdMKiKo/tJIWHSx+aiUKoJsQQHWZwvxnpSD14haATppV5oDeI6De3OkOikhfQ+igKPWxKSBnQBU0aFF2elO9p9TRH61GnfTaQC0sX3VtoI7gnILF13T2NevVhADSBi0FEhuKySik00gIKlHaxjDNf1YKKPy3pnUjAd3WbQCoHRQFe6Qlu6S+uSXlTm+AY/xH/s5U0k5vIv0cCQtAcFc0Vac3MOuMTgEVe0Q6holkfBdVghm/nyhvgaNoBtXEZGlj8VVVOIjHKKp5NoUBvTdA7bzT2SNiB6Xk4KMob5xFXdaZPYSVvKcpQ6JgDBPggnMdzpt6tBnFulHVaKMlyKJ+TwRrWEujDfV86OQeDqqzj4DFl4Bu6zYA2srMbWKBN0X5Us2EAIXOO/XgoyhDTScEUDgFCpaP6Hq8aRmKojNVUZClpdGGakbqeGxJ2OE20YSAXmJTH1A91yHBhACKcTrTRjqSqsIoOciik4npG8NEs4Zpnk3NAI0SgJ5tcAz5TQH1GCYtzFpqpzdA57x7w7Q7vZ0tACUDqmd6QnKnN9UYJtfAQTAHlGpPUQTnWnTMVMwaVbmQskGLQovvPivVFkBXp7e2JEqNxjtxXitAew5rnwEKlAA0GY16DTVC8bs2B5Vy8HUoxzARPRuqEh1FMAwQOG+CRAFwEwJ0OCiq6/EoOr0pxzBpKu3SJJhEQRZBpzdAK92geE/AGZTYUKxh4gkBJDISRX5By1kjAf0WbgDaRF27mhwU1aDq+c+KBUWnN6AryKK6mYniViZnDxULkHpTivtvSb0e72yOYdIzSozq2VB17FZrWEcpdSY/SrOH4hxu1s2xz0qyh6qRjlIfq4AdHo7GGCc2gwK0zWslAL1HQNm5lj6omnYMk4YrHik6vQFadjj5oGm6+bFp74qilArQlsUoGumAdKdAMYaJ9CakwSiJjQVoGdBWI73Tu/qsxCCLqgRPKD+iYPEBguCcIIkyxtCNPtI4holglFgqEUC1hinHMGkfwQSUAJQEFW1OdJcsAXs0tlVGlmqL+7xYkDkogoPG2UPGkKQGWUTX41EefHrGMNE0TWgrX6qacjEckzHVGsrMALGOOTnBpG0yVDMhoDCgC+ECWC065l5hQO8d0GV0IzXskabyJYUe1dlD0oREEGRRO+/UYEJTA4em5hY3ISA1OKe40xsgnOQwImiYoD5rlLDDlBIbLfrYNmHiQnH2DccW48QJAf3hOLnTm/496RnDpH0EE1ACUBKQlsUIyswAxYYaoXHGOr0pxzBR2AIQjmEiSFw0NYsBZ4tZI2WqlejNqcqXFFIJgHANE81zBAgTTAppFtHZl3ohCNX11RRd5+6/hapKp0njfc+U4I0x7zTGPGuMec4Y874FXzfGmP9+8vVPG2O+2fdnNwG0oxOUlH4ItD6NWnU9ngY21v08zRgmOudNN6ZF0xgmJWtYkT6WyhaqCQEkicK00UbH/iYrXw4IAhui6QlkTYZkZx/NbX0Age5ySJAoKNLqOnvImkHvhTFMxpg6gPcDeBeAtwD4QWPMW05827sAPD7533sB/HTAz6oHRQneWks24gKgKSmk2kIlfidjSMiCLJqZpNVn6XDemsZ/kDsFiuttCZwlQBMMAzQTAtIbbYhnXSY/G6JpJBrHMJE0YKYxa9NOby0TAgjeE9WEAEoWXwsRIAEKC98O4Dlr7fPW2j6Anwfw5InveRLA/2Qr/B6Ai8aYq54/qx7tRj150TiHQsZKEBx8FBoSiqCPKrskG3BOyB6l6xxpGBKKNQw4GQlN+ZJqDad0egM0Y9bohq3TlQy1BFna2CPSBi2iMUwauqvJ1jBhgpnqo4wxJLIWSha/jGEKwyMAvjL39xcm/+bzPT4/CwAwxrzXGPO0MebpmzdvJhtNCYryhkYHlaorBCpWQk2nd72OEcH1eJo6valmKFI2KZA10hGwEhQ6KBLnTRhIzH9eLEj05kRTLsjkCU2aSQ49wikXVME5xf6mkGWR2EIosaHwURS9AVTNoGUMUzgW0QsnPfyy7/H52eofrf2gtfYJa+0TV65cCTSRFxQjbKhKLVTaQgoH5ewhG8OkpPOcQh+rqdPb/Xzqe5peGEAVnCtg+QCQ3KBFcW81QNt5nmpLvWbQqBk1nd6UN51pGcNE0ekN6GJAKZsMqXwUlcab4hwmmRBwDzGgLwB4zdzfHwXwouf3+PyselCI36cOKrHDkJQhIRAx0zwbuk5vgEYfe9Y6vSneE+Wd3gCRgyI4hCmYNeoEM7nznMhBkbLDidINVaPECOf8kr0nsnFZSs5hok5vkikXRNMKKBPMe2UM0ycAPG6Meb0xpgXg3QA+cuJ7PgLgb0264b8NwB1r7TXPn1UP2kNYD7N2Fh0UoINZa9arCQGqOr0V2QIoWsOEDkoNc07FDlM2GRIN6U+dENAnGMNEmURRdDO36ull5hkRoGMME12CqUcmNpNm6Xg23GikfoC1dmiM+TEAHwVQB/Aha+1njTE/Mvn6BwA8BeD7ADwH4BDAf7rqZ1NtkgZF6YeSyQIIGJIBoX5OicCbtLmFYEIAaYOWgmtKyTq961RrmIghadSw3xum2UL8bLToY0mYc0J22NqqobPViGs8G47GGI2tmrOGYtYlUAVZVFfbahnD1BuOsN1KDmFIJgSQ+6jRCEAz+nN6RIkLN9LfHgBr7VOogsz5f/vA3J8tgB/1/dlNQ7upp9Obkj06105fHhQCb6oRF22iZ0O1uSnYI6pObypb3GelwDFhWhjQdqOGWwc6no2mJMrZoy3BTHnv1EyWFi2+qgSTakLAaIyLSqp0ZD6KUh+7AQyofgs3AK16+ggbbQwJ2RgmRQ6Kih0mK/0QPRsaW+rJ4nfKcTqAnjXcJpjkQDZKjHLKxVmTJxCsmzOrc1SUYGrb36p8FEHz2rQZtASg9wZUzREjvFqMZAyTsmsM5z8vBlSd3gDN9XiUo4aAtGdDLsRXUr6k7CBWc4EB5RomGMNUM9XNaUm2EJx9VA2P9ck1xqksH8XlJADNNBLKcVnzn5dij5YxTJqSb6r3JAH9Fm4AnINKEb9TjiIB9JR+KBwUXeadXhajOmjcZ2hhQCl0WXRaPkqWj6aBI310F80YJrIxa4P0O70BImZtwtYky0gUMaAA3XxJdVpdLRMCFDGglLeuAYlrmCiWkIB+CzcAFNpCqk5vlRoxLfIEZZubRPxOqHME0q7Ho7qVie56PEVjmIhHVJEEfVTOW1Eg4T4vFmc5wUydEHBWx6zp1McSxBIlAL03QLGhqEaRUDXaaBrDRJVdUoxhojpoAJqrQXsDRc57QHPwkV2Pp3EMkwKGhKrTG6Aa4j0iY2Orz6OQkShZN4Rr2E0IiLaFuMKhJQClGsNEde0voKMSJQH9Fm4AKA8+inE6ANUYJhqnQDVUl6LT231eii3zn5VkD5GDotJBAYkBKCE73CYpe9M1cGi6KQVIZEgo3xORfo6q5O0+L94WGqkEQNddTWELxWQJ6stSSDSgSiQ21FKoFO0wlY5ZAvot3ABQOG+qwKZWM2jWjRoGlEoHRbu5KQTeOhwUWfmSQJdFGZxTsMMUN1YB1X/PYJQ2IYB6RqqGs8Z9Bs21oDpYfNI1TNR5Trm/NehjKd4TZac31WUKVKQEQPWe9M8BLQEoASi1RxpKP+OxrYY5E5V2U0uplEOzAaLyhiLnTRXwuc9LsQXQsYadPVSNdEC6LoviTm+KTm91LD5hpzdAww7T7G+C0i5Z8q2nAZNiQgA1i08xiJ5KlgXoIQK4od/CDcC0u1qJcLiVOHKD8hB2pdQk8Tt1pzdJs5gOdpiqREexhlWyw5TrJrF5TQtDQqWpBujGMNEkLU4/p0PjTSXdIE2+KUZUKejKp7ZFTaJAUYkiagaVgH4LNwAkI2wog75G2mB80s3dJAjOqeQABGOYKDd3q0FxPZ7CMUxEazg9sKHTMQOpDVo0tlBMCKC60xvQlSjQ6ByJS/AJwTDAID9SUIJ39mhh+agmBFDqmCmaQcsYpnsEs9JPenapYTQKdSl1/jNjQNlMQmELoKjMTDyGKaksRnRXNJC+hoejMcaWLpAAEsveRO9pOiFAUSChZQ1r0jkCum46o2Lxm3WDWuKFAUD62Ue6hicTAoYpt8ANiC5uIWwGLQzoPQKKze1EzKmd3s4ePTooAqdAKDYHEstQlEw1xXzJ4Xh6f3AKztoMRdqKAs2zoRqLkloyJJ1lS1JmHqkZJaZNH9sjPvtSZWJka7hJFIBq0V0S3iyWbAthcM4N/RZuAKjGMFEEEkC6ttCVjc7awVevGTRqRs3B16pTdF/SZt5nZYYiNVMNpK9hqpJYKrNG3elNMSGAZNQQERFQfVZ+eYK1lv7ZpPgFonmtQPrZR6o3J9JVayFs3LPplDFM9waoxjBRUeZU7JGWg4/82WjRx1Lp57SMYRrRdHoD6WOYtLH4VA4KIAjOp0GWogRT0Xua/6wUaGKqqW7ro2LVUicE0GpAaSYEtAj8JcmEgCkDWsYw3RNQF4AmZpfUGjEgtTGApoEDIHAKhJubRPxO3cChaA1r0YhRlcXIGNDEm1uoWXwg/dmoqbZQyxOUrOEWRQOmKpKEoUqnZX8nVjDLGKZ7DNPxH4kZFNUCVtVhqKi8ARA2aBHdPpR6PR7VAGSKCQFUN5MAdEy1JgdFG5zrmANKNd6HUiqhKflWI5Vo0rwnqjWcOntzeu0v6Q1aaQ2YaoLzYRnDdE9Bm4PSOIZJQwcxQLi5FbDDrtObctRQahJFuYZptHw6AlCqRMHZo2kOKKDj7JtNCEgLsho1mk7vdqOeNIaJNIkimhCgpZGOshmUakIAVQ9HusSmMKD3FGYleB1BVmp2qa1ERzWGydlDM0Mxv1PQpnOk1YjRsPiUTQqpSRQpO0zArFHNAZ3/zBhQdXoDs4svYkFZSiV7T1r294im4RGgk9ho0TFTjWFy9mh5NtzQb+EGgEqIr8VBqStfEt3pDaQPOCfVFiayw5S2TCcEJM2yHZEdwpqSKKrr8UjZo5Ru5hHdukk9+yg7vZ09GthYoHq+KRMCWBLMRL+gbQyTmiuaicYwOXtS2VhjgAYBi8+NEoASoEWwgKlm4QEEImaGLvgzw6wRdnqnMqCUbCxA5LwJ3xPNtaD535P7WS0yEsoxa6nOm7Lpx31OqnSDMhgG4oO+2SgxHdNIqpFvZ28ME9mEALL9nSo/qggbipni3CgBKAEaNYOa0bSAaRwU7R3Eip6NokYbIKEET8iAOnuSdVDEgUTshACORpvUgFiLjIS603v+M4NtYVjDWhKF1LOPpdNbzRgmPYPoKSYEkDdgKnlP3NgMK5XDid/VdHoTOSgtJXhtY5gog2Eg3kFRi81T55JSly9TrsejvQlpIpVQMsuWbAyTAhafemRMcmBDrMUH0iscaub8DkeK9LF6xjCNxhajsSXVMac2r1HMJJVACUCJQDF7U90YJgUaMco7vYH0IIt6FIn7zDhb6G5tAc4WO9xTNK0A0DcjlexOb6IgS0tgQ9rwmFqCJ5TYUE0IoNTiq5nUMj2HE7X4ZAlmqvyILlHgxmZYuQGg0G1QjrBxWVmsLQDVrEvHHkVubkImy31O6uamLEMB6ewRZWn3rLDD6jq9iYPzdI0YVUWBqJFOS5Mh8cg3IOHsI5YnUEwIoHw2JM2gChhQymTXfY6WSQ7c2AwrNwDJ5UtC/ZwmbSGdEF/R5ibs9AYI9HNKxO+0nd5puizqCQH1mol2mNZadWPW1CQK1AkmwZg18jWcuL9J2WEl8gSKCQFUnd5UOmZVzaAlAL230CbI6LSUL/tDPZ3e1A6KYgwTXaabxg5Tly/bBOww5SEMEOjnFEg3tHV6U4+Ecp8ZA8pOb4BIRkLY6Q1QyBOUPBtCecL06t8EeQJVp3fqhABKra6zR8utitzYDCs3AOkHH91NKcmaFsKh2c16dUBoYLIAGhZAyyHM08ChJDifshI6gvOUdcOlc4ydEEA9r7X6zPyd3u5ztATnZJUoLYkLMQPqPjPKFpazRkeyWxjQgmCkskccGyq6uWVAFwwbY5IOvpkeVRMLoIMhoWeH9TgoF9h0Y+dLUicu9fj9TZ4oEEwI0BJkcbBHac6broEjOTgnvtM75ewbjsZVp3edbhoJkMY6UnV6p04ImEkllIxhIjyHubEZVm4AUjc3dac3kJBdEi/gFFaCWuCtKciiEr9TjqhSE5wTrGGqTm+gYqujh61TB1mJNzNxaEA1dHo7e7SUL8/ShICpjIRaYhO9bugSBWNMknaYWmLTqtcTxzDRjS3kRglAiZBy8NEv4PSDj3KQbQo7zCHEH44TxO+k0wpoMm8NDAlAf6c3kKYtpDyEW/Xa9ArLYFuogyyC/a3lrCEPzikqUVoatBRNCKB/T+lNhpQ6x5QeDsqbxYD0MUxlEP09iJQMyjErlAsYSDv4qJwlMDn4UtkjNYyNvjFMlGXm2DXj7vRW47xHdDKSyp74uYWz90TFDqc5b8qRb416LWlCAHWCWZ01OsYwUWjxKe/0TmL5mM7hlHVDXaXTw4AmTggoGtB7DymDdelHkRA4KMIMiqT0Q8zYaAjOz5L4nb7TO50hIV/Dypx30rMhZodVdXorYY+o1jDVnd6qGukUsfiA0v2d0qBVAtB7CymDdTk6vec/N8Ye0s1dj++upmeH0wdnUzKOlS06nEK7UVcllZj/3FD0yFn8hP1N3OmdyqyxJJhanDfBHFBNCSZ1kKXm2t8mRRJFvb91rOH0G/LKGKZ7DiTZJVGnN8XVYqT6OQJmTY22kPDgS70eT9OIKj4WIH+iAKQ1aJFfpkDQXU0ZnCfp3xk6vce2auwMxfRObyqpBMlZQ3cOJ82yVcaAcjTKamHxU2frFgb0HkSK+J38Ki+C7mpt2aWmIf2UwXnK9XjUnd4pwTDHUHwgfkwLuUYsYQxTj1piQzAhoK0kOOcY0g/EBefkTBaFFl8JA8pxJTKQOMlBi0xMWQmeshmUG5th5QYgjQVgKl8qGsOUOmpITXlD07Mh7vRuN+LF79oOYeo1rGoMU2Jw3hswjFlLvGpXgz52NtZMB8tHOWoISCRJBrQj35JnVROPGkrSMY9o9/f02UQ007lm0DKG6R6DqgCUoNFGXXapgB2m7vQGEtlh8k7v+KBvypCQdXonOm/CawOBRAZ08t/QIb59KIkBJdd4x9tC2umdsoaJk6hGvYaa0VNKTZkQwHEl8vznBtvD8Wy0jGFKeDbUFQVubIaVGwDXBR9zPR755lY3himePeLo9Ab0bO5U3SVpopCQuHA0k8TaAjimWomOeUgcnCdOuSB33s16cpmZqtPbOe+Y84b6rHGfpYXF10QEzFj8MobplC0JzDn1e+LGZli5AXCLbzAKD0DJO73VjWFK6K5WuLm1BKAcnd6AjvIlxZD+M9vpnazxJg5AU6ZcMLwnIK55jVrHXH1WPOvIwuInN8rmJwKcPWr0sYqqdNTviRubYeUGYMbYhB82XAJvLQwJyZB+smsM48cwUQcS7rOSylCkzSTxpR9q9ij1erwecad3VaJL0zHTB+fha9h1emuZckHd6U3B4pMnmIoY0NgJAVwMqBYflTTlYkh87S9FI11hQO8tpAR9XJ3emsYwpXRfknZ6JzCgPYbNnXo9HocGNIaxYQvOU0q7hQFlt8V9VkoSRd1o4z432BZiIgBA0u1iHKPEACUSm1QWnyE4T5OR0PpL97kxtsx/hnZshpUbgJTGAOpO73rNoFEzekp0jbRZlxybO4khoZyhmFgWo2ZrgDQGVMv9zFxjmKI03op0zNQj34BUjTd9p3f1uRHPhrjTG5hMT9DS6U0isaGdkRrzbDg6vVMmBLARASkl+HuhC94Yc9kY82vGmC9M/v/Sgu95jTHmN4wxnzPGfNYY8/fmvvaPjDFfNcZ8avK/70uxJydm7JEO2jyWsbHW0o+wSSpv0M8krT43f6c3QNCERBxkuc+NsQVQpo8lbbRJWzccnd5JZ40iBpRlkoMiBlTN/iZIMDVMCGBpBk2U+/Aw1ToqUZxItfJ9AD5mrX0cwMcmfz+JIYC/b639OgDfBuBHjTFvmfv6f2utfdvkf08l2pMNJOwR8e0kqjq9E9gjjs0dxQIQN4s5e7R0eqdcj0fd6Q0oC2zqafubttNbF1OdOoaJhcVXop9LvX2IetQQEJm4MPiF2Kt/Wd5TM00KRa03d58bbAvxtb/cSLXySQAfnvz5wwB+4OQ3WGuvWWv/cPLnPQCfA/BI4u9Vh7RFw3PwpTAk1GUxa+MmBFBv7jSGhLaZxNlzFsYwsSRRiYENB3MeG9hoe0/kQ/oTmgzVlS+piQAlLH7ShADiZlBnT4zeXOVZwzLJIZ4kuVfmgD5orb0GVIEmgAdWfbMx5jEA3wTg9+f++ceMMZ82xnxoUQl/U5B08DFtbg2llvnPimVk1WxupmeTpBHTEpxzaAsjA5vhaEx6pzeQPhqFkqlOmRDAIpWo1xUlCm6SQ0L58qw2GaZMCCBuBgUSqnRMkrXYCQHkSVRKoyyDjIQTa600xvy6MeaZBf97MuQXGWPOAfhXAH7cWnt38s8/DeCNAN4G4BqAf7Li599rjHnaGPP0zZs3Q361CFLHMJFv7kQHxcHYxJa9WQ5hJYOqU8XvtHd6uxFVm62fm5YLGcpiccwabaNNZU9cg9aslKpHx6yl0UabPpa601sTi+/s0dCR72wB4s8+NXpzBv/Nica6b7DWfu+yrxljXjLGXLXWXjPGXAVwY8n3NVEFn//cWvsLc5/90tz3/AyAf73Cjg8C+CAAPPHEE+G1XGakHnzUXWuxmTdLp3eiPIHyoGnUa6jXjC6GRNFtIEBcEsVR+okNbLgYkvnPDrWHOgBNfjZMGu9QnSuXPEFDp7ezJ7oZlKHTG0hIopq0Pip2DXN0es/v7512uD1qGNDJz1Bd+8uNVCs/AuA9kz+/B8AvnfwGU51IPwvgc9ba/+bE167O/fWvA3gm0Z5sSM4uGRyUlk7vlK4+ah0UkM4OU27uJIaEutM7sYO4ZqoAnwqtxCRKi1Pg2t8pQZYW9oh8ykUCe6RJH8vVDAroYUBjZ6RyJVFAvDSLUmKTNCGAoRmUE6lv8CcBvMMY8wUA75j8HcaYh40xrqP9OwD8EIC/vGDc0j82xnzGGPNpAN8N4CcS7cmG5EOYenPHOiiGTm9N+jkg3in0GDa3C4ajJwQoOYQ5gqzYEh1Lp7e2JCpRP8eSuETaQ92RD6TJSDRMCNDI4nPsby2d3skJJoP/1pJ8c2JtCX4VrLWvAPieBf/+IoDvm/z5twAsrMtYa38o5fdrgsbNvd8bhtvC1OkNxGtaODJvLeXLthO/jy2a9cDypSKNWI9BRqKpkU5bhSN1yoWWBJP8ukmCWbYa5jFzdeTPf3aoPfQ65rjmNQ65T9oVzbTNoED8s+kzVDg4sRlWbgBS7tGmFjFX9sQ5KE7nHReA0m/ueP0cX3Aeao/r9NZySxS1DgoA2po6vd2ziZ3koIQB5bhONmksFHGTYa1m0Kyb6GfD0umtJBhOnRCgZg0zNTwCCcE5RwVTyZxfTmyGlRuA2e0kG765FTIkHJs7NpBwP09pCxD+bLi6zmNscT9D3iUbLZVgaCZJYodpr1QE0ll8yoaSlAsMeiOmBsxIdpi+07uuT+eogKl29iSVmZVcUMLivxXpYzmxGVZuANJFzMrKzBybW8GMtcqeOAfFqo8NfDYc72k6ISA2UdC2hklZ/IQRVWyBTYQeleHSC6eJDn1XrtObJ/nWRQSEary1JZg9ljWcJk+gbAbVNIYJSGteo7z2lxslACVC6ubm0NekZJeknd6RDgpgCmxiGzgYNnfs9XgcGjHAZd4xY5hou5mBhPIlg/NWx5BENxkyNHAksvhaEhcOpjo2+Z7pHOmZ6ugys5IxTByd3kkVDgaSJH4N0177y40SgBKhWTcwCaMTqDu9NW3u2cGng5WotIVxtlBv7hkDGmYP18DhlKCPI1HQNJMU0BWAaun0jh2zxqHVBRLYI6ZKFBAe9HF2emth8TWVmbXJE6InBDC8J05sjqXK4a7HU7O5E8sbqko/ShwURxkq1ilwvCf3eXrGMNWjrsfjLV+ejTFMGsb7cOnVUm7Q4jhrgPBnw9ksFtuAqecyBUYWP3BPcTSDOntiR75Rk1mcKAEoIWJZCY6r+uIdlJ5O79HYkt/pDaSVNzhmkrrPDgEbexS9hnnGMAE69LGp1+NpGcPE1ekNhE8I4AiynD2xpVQOOQAQH4BSSmzchICNH8PEcPbNNN6BLD7T3evxz4Y+luDE5li6AWg36qrGMA1GFuNxfvF7rMC7z3AIA2nyBPL3FO2g6Du9gYTSLmP5UgOzlsTic5XoYplqJhZfw3tynxd7DnPYAiQ8G4bmNVUykhQWXwFJwiqFUnCxAzc2x9INQMpwaLaDL5Y9Kpv7FLiYakCR807oPOcYwwTEyBPog/Pp9XiB64bjTm8g7T1RN5N0Yln8qR6VvvEnlh3mCPjcZ4eAq8IRPSGAa5btMG5CAHUzaGoSxdEMqiVR4MTmWLoBSJm9qUX83hsybO7YTlCmWx1UJgqRzluL+L3HcWFAYvmSZXyXkk7vdjNyDBPHtb+RUy74GNB6FLPG1ekNJJTglSQuHPKE6AkBDM2g8ckuE1Od0KdQGNB7FK2E7mr6BRypaeHo9E5stFGjj2WRSsQxJByd3s6e6GkFDEw1kMKs5ZdusLH4ihiS+CCLJ8HUxOInT7lQ0oDJ1ekNxCUuZ74ZVNH+5sTmWLoBSBn/QX6XbAJ7RL25jTFRXX1cLF+rHn8HMZ9UQsmzSRjDpMVBTS8M4LhBS0EzibMldkIAF5MVur+5Esx2ZAcxS6d37BgmRcG56/QmbwaNTDA5mkGTS/Bn+BzmxOZYugGI2dyjscWQcXNHBaAMYxxi7vVmY/makQ7qHmhSiJaRDHiuVATiOlOpO72BuP3N+Z6AuAHn6tawGhkJz4027rNDbQF0BDbTioIaiQ19ouAmBAT3TDDpmNMm6pQxTPckkkp0ipqQODQkSQcfQ7YbNSFAVeln0mhDrFmLdt7KgnOOYcwxiQtnkAWE36ClKYnSNobprE9ycJ+nYawZED8jlctHxVzRzHGzmLNFi4yEE5tj6QYgZjQK5zxHIM5B8Wzu8IxOZ3DOMwdUE7MW+p447/QG4prXqANzIJIBZZRKzH++LzgkNo3a5Ba4yLOP8tpfQNcYpmidI9Od3jENmHwTNybNaxHrhqPMHDMhgFUKNYqYEFA0oPcuWhGbu8dw5dr854Vvbvo7vZ09WliA+O5LhvvOz4D4na3TOzaJ4mJAIwIbjju9gbQJAdTBuTEmLcEklh9Fj2Fi6fSObDJkaAYF4iYEcMoBgPD9zdXpnSKx0TYhYFOwOZZuAFoRg+g55znOf74vOEZCAXEB6LRLlnw2X0Jgo+g9AUo0YswOSgtDElOi47jTG0ibcsERnMc4b3XXySqSJ9wL72kWZEWsYY79HdFEzP1sYpK6woDeo0jZ3BxzAqvPjxvDRI0U7RFHBzEQEdgwyBNqNYNWPYU9omds1EglYvVzTJ2gMWuYTeeY0F3Ns79j1g39tb9Axai6a3x9wd3pHTqej60ZNEHHzMaAatnfGpsMSwBa4AtVmztB/M7GHsWOYVKyuTk6iJ09MUEWS6d3QrOYpvekpZGOawxT9IgqtgYORWPWIp6NPq0uT6IQNY2E8dpfILYLnkHjnVL9ob7AIEViU7rg700kMVmassszX/qJY4c5Or2BSPE7V4kuQvw+1TmSB1nxY5gKQ7LcHp4EM37MGl/50n/dqGsG1TSNhLnCEVVmZjr7YqeRaLiEw1pb5oDey4g5hGfsEb0QH4hlj3Rkl5zX0QFhz2Z6pzdTcB4uxOfp9I4Rv3Ot4aRB1crGMPENf1dSvow8+2oMnd5RDChTkJUyIUCLjISLHe4kTABRk0QxkyQxLH5pQrpH4bpkdbBHuhyUyjFMMZubI+hrxuljuTq9gbB1o29aAX2nN5Cq8dZRvtSm8W6xdHqHr2GuQMIYEz1Zgu0cDp51ySUTCw+yAMYu+IgJAZzX/gKRSVSZA3pvotWowVpgMPIPQKddsme8RKeyu1rJ5o4t7XK9J/f5vuixNZPEly855QmhtrifpbYFiJwDqiWwUZREcTWDus8MZvE5dcxKGNBomRjX2ZdwWx/fTWf+FRcuvTknNsfSDUCMU9DnoPjmgGrR12hi+dxnqmEBIuQJXOxR9PV4bJ3eMUO8+e70BsJ0jq4znFoqAcRPCGCVkUTsbzUTAth0zNWEgGGMj2I6h0MnBPCOYdJx7W+MdrgwoPc4YnQbnAPFAT1DfmNvieLq9AY2myHhPIQBRcF5ZNmb7ao+JUO8XeAWFWQxMCTRLD4TUw1E6piVaAvZJDbNiGejjiRhOvsUruGQ84bzHObC5li6AZgFNhG0ObX4vV5DvWb0DPlt1Kf35gbZwlii03AIu8/UohGL0WVxBuex0g3O9xSi8dY0I5WrogDEr2EeFj9iDQ94Rg0Bseww06ihhHWjQcfsOr31NMryXfsLxJ7DZQzTPYmYRaOJPZpubi36OTYh/mS8T0BAzMmQRF2Px6gRA/SUL2Pnx3IxWUCoxpvnTu8YFp/zrIl5T70Bj9xnxuLr2N+VPlYHERCn8eadEBC0hhk7vWNkYvdCMygnNsfSDUCS8+bSZQXYMhhZWMvT6e2C4dAJAVyZLhDJgCppQqpmknKOYQqfocimLVTSwBE7X7JVp+/0Tmm00cTia9Exs+7vhAkBHLYAOoI+Y0ywPIHzPUVLJRhJkrBJLTx6c05sjqUbgKTuSwZdVqi2kOtGG2fL2ALDgOvxOAeKA5FlKKYxTGru9I4Qv3OuYU3MeSx7pCXIYpdKKAuyop6NEn0spxbffb63LUyd3u4ztfjL6EY6LWuYaVwWJzbH0g1AXHMLzwgbZ0+UDoppcwPhrIQ2B8USnEdej8f5nsLE74zawsAh/ayd3i7oC3g2XHd6x0wIYO30jrpMgbfCEVW+VHLDDuewdff53rYwdXoD4RMCeCtRcRMCeH1UQD8Jo4yEC5tj6QYgNrDhGMbs7AkJJLgZEiCcdewwMcPV529w+XLIdyuT+3xvWzj1c4FD+rmbxYDw0ShcjEQos8b9noKHeGsKslj1sbESG8ZzODTIYhrtE12CZ9QOh05P4FzDWoJzLmyOpRuAqW4jYAF3BzwzC4FwVoKziy7m4OsyaUAb9RpqJq68wRUQx1w3ycGAdiLGMHGWfsJLdHwVhZj9zTVXF6jkIEETNwaOqWaQkURovDWNsOkxzWt1nxncDMqUYMY0YLKu4cCyNysRECNrGTCPElMiseHC5li6AZgNjw0bw8Q1NqHdrAc7S4AryHIHX5g9bMF58MHnno2WRhuuMS1xY5gaNYOGgvE+7hDmek+ADg0oEM6Azp4Nn8MMmRDQ5apwJIwS41k3oeew0znqIAJ6gzHLc3H2BJWZ3TnMSZIEV+kYSJLJhICw98Tno7hQAlBCxG5uLgdVsRIhDIkEAxoanHNl3mFzSbU1cHAxoLGHMOt70sLGRko3eJ23jiBrmmAGnjccZ03MGKbps2GaLBFz1rAEw5HNa5xrOEYKxZlghu9v+rPGGKOqQYsLm2PpBiC2u5prwYQ6qO6AsSGqHrG5uTPviOySi3UMEb9ba9kbOEISl+6A50pFwGnEAmwZ8jXSxYxh4pTYhEo3WPe3Io13zDncHYxgDNCs82jx484aHe+Jew1H+SglvQFdpkqUsyfOfxcG9J5EzDWGveGYJesGwh0U60ioiGfT5SzBK8ouQ8Xv3NeCzv8OP3sUSSUkWPzQErwyBlSVxpvh2dRqBo2aiZJKsDSDxp41avY3o4wkeFIL/7NRI7EJrf4UDei9jdjMWwsDyumg2pECby3ZJWeJLnTdaNQ5sjHVwTpHPh1zXJPCCB0twbmiZ1Ox+MyJS+B74jxrohrp1Oxvnusmgcn+jtDHsp59gfZw+e9YH1UC0HsU6poUNDmo6IOP79mEyQF4S3RAQADKWKKLEb+zluiaoWVmxiQqcoQNp/NW82wCKxzDscXY8jnLmOoPx7nnbAmZEODeE0fiEjchgFuLr0NGEjUhYDBirmCGNWhxsfhcKAEoIaKE+Ixd8KFjmDgdlDZmLVhfw1iiCy2LcWa67no8NSW6SAaU10FpCc5DS3SMF00oYvGBOP072zkcOCGA9da1iCCLaxweEEOSKJORMDKgMfKETWI/gRKAksKxY+GlHz72KIYBZXXeASU61hmpikp0od2XnA4KiAj6uB2UEq1udIlOS3DOeaVi4BrmZLKcPWreU+C6EdE5BvoFNUEW582BgUnUcDTGaGwVBed8UgkulACUEMaY4NuH+qz6uXqkwDv/GCb+El3gEG/mEh3gf/BxluiAGPE7n4NqN+oYTq7X9LUF0DQnkJvFD1vDrUaN5UrF0OoPJ5PlPjd8f/PZAvizjurGMA34GmVbwWVmPWOYOOfqAhEXyQz4fBQXNsvaDUDovd6qWD4J9ii4zKwlu+Rl+YCQLnheBjR8/IfAswkMzssYJllbonXMjM5b0zkM+O9vTnY4bkIAZ4IZN0pMwxWu3GOPQiuY1dSYwoDe0whtmmDvohuNMfZkj3gF3oHZ5YCvIQrQ5aCCGRLGEp373GDxO2OJDohp0MrPgA5HYwy5S3TBWl2+pAWISBRYmTUd53CsPlZL4sKpLYxZw826QZ2BxY8nSXT4qHtOA2qMuWyM+TVjzBcm/39pyfd9yRjzGWPMp4wxT4f+/CYh5no8PcxaVaJjmYWnkQHV4qAi3hPArJ/T0oQ07doNLV8yTgjwfDbufbLq5wI1YmwJXTSLr2UN82u8/c8+Zo13xP5mkydMxjD5TgjglgMA/hMCuG8e0nQOcyHV2vcB+Ji19nEAH5v8fRm+21r7NmvtE5E/vxGIO/iYtYUBToEzm6t+R2B5Q0nppzfkG7cRzpDw3vkbGth0GW+smjLnnlqoLmOjzfR6vMBmEjatblSyy3vW+L4njSwft8Y7WFuoIMEcjy36I8Z106zDWv8JAV1mvTkQotXl05s7e0IrUZt0DzyQHoA+CeDDkz9/GMAPCP+8OoQsmtHYYjDiLdEBYU6BcyQUoKi8ETPigpk98g/OBZx3iPhdWRLVqBk0GAJQZ493MMyt1Q2V+whMcghl8fWMWdMz5WKWfOdv/GGvRNUD1w3z5SQhtnDqzYGYUWL3HgP6oLX2GgBM/v+BJd9nAfyqMeaTxpj3Rvw8jDHvNcY8bYx5+ubNm4lm8yFk0XAOfgcinDfjAq7VTNDg7Fl5Q0cZitNBhernREp0Whq0IhIXzkO41airGKcDVFMuRkETAvh1jr7skcQYpiD2iFnnCARMCGBPMAPWMOPYI2CeJPFnHdmrdL6EDXMTUriOefOakBrrvsEY8+sAHlrwpf8q4Pd8h7X2RWPMAwB+zRjzeWvtxwN+HtbaDwL4IAA88cQTfiduBoQ4b3YHFdoYwKgRc/ZouO2n+tzAUUOaHBR7+bKOO0cDr++11la3/bCV6ELLl7xlqBAGlJ3la87WzXZr7VHOqp9zyVD4ZQqc5UslOsfAGci94Rj1mkFTAYsvwVTP/x4fe7gS71rNoFk3Ki4EcZ+r5TYvLqw9tay137vsa8aYl4wxV62114wxVwHcWPIZL07+/4Yx5hcBvB3AxwF4/fwmIWR2FzvLV68+1z/o42OygLDu6q7QGKbx2HrNReR0UJ1Q5z3gdwpaHJQLmLrezBovA9pp1qal9fW28CZRTiPYHYyx3fKwZzjC5R2Pb0ywRcuUi07wFa58zJr7bwxhh3nXcF3PGg48+9ifTYCEjv3sa4ZpQDlv8+JC6pv8CID3TP78HgC/dPIbjDE7xphd92cAfwXAM74/v2kImd3FXd4InVvIOU7H2RPqoLidgoYGrfY0kNDjFHwdFHu5sBkWgHIyJMCEWQscKM43JzDw2TAG5416DY2a8V/DAgyory3WWlbpRnCCySwj6TRrU/2ijy0An87RncNB+5vx2bSbde9nw59g1jEY6ZDYcCHV2p8E8A5jzBcAvGPydxhjHjbGPDX5ngcB/JYx5o8B/AGAX7bW/sqqn99kxLBHXIdwZ+qgtBx8/k7hXmLWYt5TzVRjgXjsCXFQ/NMKgIBnw84e6Xk2nQh5AidD0glw3tyD6DvNuvc5PBuXxX0Oh+gcGd9TQHA+m+SgJIlirEQBE+ZcSYIZHJxvYBPSeuHQClhrXwHwPQv+/UUA3zf58/MA3hry85uMkC54fiYrdAGPcNGnlheJkOySW18THvTx3bPbrNdQr5kgprrTrLPMawXC2CPugeIz9kgHAxpSFuN23qFJFLdGLESewL+/q0rUaGzXDi1ntyU0iWJ+T+1mLYCpZk4UGoHn8GCE9m6bxRYgsPrD3EQ8n7jstFeHahWLf++NYSo4gZjyBre2UIuDCtKAsjMk/sG5K9FxzeUDKielhaluN0NYfH4tHxAyB1RAPxc8honfQXnZw6wRC0lcesMxjOGZ1+psqX7Penu4xx5pe0+dgAatHnOC6fZGSOLCK7HxP4e5k+9p9cfjXQ1GFmPLl0RxYbOs3QBE6ee4y5dB2iPe8kZoCZ5TIwb4HXyDkYW1fA4KCJMnSDgoxx6tg5iMJMRBsZfgtehjw5k1NYnLJFHgYvE7Ac9G4mpbX1sAfi1fWCWKX+cIBIxhEkgwQypRAH+C6fNsZu+pMKD3NMJ0jjIdhiEleC3sEf+z8XcKXWZbKnvC5AmcDsqtG5/pCerWMLdGrBFSohOqcATYw/1sgqQSzHrU6vf4OG/e9+QatEKkG1yyDSBO58i3hsPHMLHLSLyTqOr7uFj8oCSK8QpiTmyWtRsAV0r1uduWv0s2cPwHd2AT4qCYWYmg7JLZFvfZIcw5t4MC/II+7luZgvVzzElUO6YJif36Sx8Wv2K0NTVocdsCeCaYzFr8yp4w6QZ3gqltDJOm6k9Isttq1LzG+MWgHZBgzt5TYUDvaYQMZNY2Y43zqr7KngB9zVCoRBfC8nFqj5oh4334HRTgd/Bx30sfOt6Hm1nT2aDlz5CwBzYB8gRuNhbwC2y4m5CAwAYt5m7mdqPmPd6HfwzT5k5qkZhJ6n7POkjsbw5slrUbgBmzFkKb3ytdsmEOivcQ1uegQu6C18IeceuYgcD5sQLBeWiDlgb2iPvaQGePN7PGzoCG7G/+ZxPWoMU/LgsIWzdsY5gCZiAPR2MMx5b9prOwYJiTlPBvwJSo0nFgs6zdAMyYtRCnwPMamnWDmvELJNzm5p8TqKPbMeQQlihvhJV++LuZAc9nI+C8g5k1Zhbf3aC11pbhGK06X4kuRJ4goRELct4D5kYbZc+mEzRZglsK5a+77CpiQCWIgHYzYEIA89XV0watgEoUp8/kQAlAiaGJNjfGeDvv6TBmbv2cls0dkl2KlC/DMm+JZ+PHkEg4b136OcBfYqOF5RNJogITTM5EIUQ/J8EOh0o39DCgvI029cn9635yH6FKlJIqXZiOuTCgBQgbjeI2FNfmBvzLYhILuN2ooz/0ZI/Y76UPcVC8A8UBfWOYgEBtIXMpyuc9jcYWgxFvo01IyZB9nE4Ey6dHRsKdKOhLMMNurNKRuPSGIzRqBg1OH9Xwk7VIsHyhg+jVJAplDFMBEMaAdgcSm9uPWeNuJqk+27/0I9clG1BmVtKZKnEfMhB68HE7KA8Wn1lTPf/ZvokLp0MIGe8jEWSFDqJXM4ZpILNu1IwSCyRJuG/XaXuefSLVloD716XG4YVUU8sYpnscoYuGmzL3PfgkmknCNC383Y6AjkHV7rP1zAHVVfrxlSfIjNMJcd68LF9lj588gbuZxNkS0qClheUTm/Prce6NxxZ97gQzoPrDLSOp7PG73EFCb94OlB+xykgCLpIpY5gKAISP9xHJLoNKdBIlBb+gj/PZhNy/LlHe6ISMYWIflxUmfmdn8T1vJxFZw0EVDl6WD/Af78PdTOJsCblBi3cMU8QkBwVJ1FSLz3wXPOAvT+AnSfwatETeU1CDlpDeXInEhgObZe0GIFTgLbK5gwbZ6il7sz8bb3mCQAdxQIMW+4UBytawLzssIgcImr0pwR75VjhkGm0Av8SFm1mLk5Hkn3LBffc6EDrnl78E712lk5TYKDj7ohq0Sgn+3kZQBzHzqCEgROCt7OATYY/0OO+OZ4OWta5EJ1D68bymlH0NK3JQQSU65mkFzp6wmcNa5AnMEpsAJqs3HKNmqrF1XPC9QcudjSLjfTz7FFoSMjE1JElY4sLuowITTO5kgRolACXGjAXIP6YF8O8g7kkcfJuqnxO6RWb+d621RYTly88COHu0OKigCwyYpRKAv4OSGsME+K8bTmcZcoOWmyrBdesaUD33kIYo7hvpgIBEgT3BDEuiND0b/gQzVEK3WSHdZlm7AQi6Y1xCX6Oo9BN6+xCnwBsICc5lNGLA+mcjUoYKHO/DX6ILk0poadAS088FjcvK/2ystTISmwDnLZHsBo0a0iJPEGlC8uyCF5hGEt6gxeyjGn5zSXuDEYzhHenIgc2ydgMQzPJJNCkElH5knLfn5ubOLj3H+0hsbt+Dj/v2LCCMPdKlc5STkXhPclAmT9DQoDUYWVjLf2uLb4MWdzezs8WnQUs2wdSiAfVMMAXmMats0PJMMNuNGiuLz4ESgBIj7HYSmcw7zHlLlC/1bG6/4Jx/c/smLlKlFl/2iPteemeLb9NP9f1KNGKD0dTZc9qjhT3yfTYSLF/1+Z7yBCG5D7A+cZHUOWqRiXnLSCTX8IY1aEmwsRwoASgx3HgfXwpfywKWbELynwMq0KDleVWfREMUsP7ZSN35680eCbH4Pg1aXQkGNPAebf7AxndGqsws2/nftQwzqQS/xMZ3vI/EJAdAR4IZMg6PeyYpEKBzFBnD5CehG0zYbC36dwnChgObZ/EGIGS8z5bAIewz3udosuE47fG9Hs9tbm6Bd4jzlmBj3e9aZwugiD0SYPF9G/t06ue4NWK+CWbVzczaaOPJHkmwfEBAgimSRIWxw5zEROh4H4kSvG/PRPX9+ZuQpMYehejfN60DHigBKAt8Wcej/og/yPIc7+Ps7bTylzdcMKyFHe4OR9hq8bOxwHoH1RVIFAB/9kiGxffTrLmDWkODVtVow98l660RG4wF5AB+CaZUEhWSYEq8J2B9EjV9NgJ+wb+0K6DFD7jth1WL75koSN085E8E8L8nDmyexRsAX/3c0WDEHkj46n26Ao02vixAtz8JsriDPs/yxlGf/z35HnxTplogIPaVSkitYd/EhdMe3wYtd580+7rxdFBHfYEkKlDnuN1qsNvj9WwkkijPBPOoL5dg6vFRfg1aLsiq1Ri1+J4SmyMxH+WXYB4N+Pc3B0oAygDf8T7dwQgdgQXsftcquCCLtdHGkz2aMllKJgRIOChfjZiUg/J+NhIsvrc8gZ/Fr+xZn2BKsvg+TLVksuvLHvGvG//5sVqejUQSBfhNALHWigQ2vomLpC2+Ugn2dROQYJYSfAEAv809HluRWZe+DKiEg2q4Bi0lLF/IeB85pnqN8xbQQbnP92WPJA5hwI9ZqwnMwvNp0OoJreEQ9oif5fNMooSCLP8SPH9g0w5OovIza73hGNYKnDUBybdcorDOlurrEpUx30kt3LZwoASgDPA5+JwDk3BQgJ9+TiKD8mnQEmMBPHWOFQOqRD/X18UeHYmw+L5OgZ/FB/wSlykDKqARA/zYI3YW35fl68uww97yBIEkynfOr5TG2yfBdGeRFna4K9Bo49ugJVfh8GvQ6gpUojiweRZvAHxo867U5g44+CQWcDXTUYeD6jTqXuyRaOlHgc4RqCQB6wK+8bi6l17CFsCvfCmRRLU92CMxrW4As8Z/1njq5wSfjZd+TqB8OUsw16/hKgjKn2BKBVntAJmYyP4OSDC3mOU+vrdESSRRHCgBKAN8SnSzzS0zANmHdZQQMfvo57pD2WfT9xCcS5S8AUVNSB4MSVdgZAwQ1qAlw+Kvl9jIaXX16Od8G7SmN9ooYUAlqj/eUqi+TCnVJ8GUCrJmEhufJEqCJPF4NlIkSbM2bWhcaU9pQipw8GpSECtD+ZbgZTIonwYtuS543/vX5dgjb42YQIOWdyeo2BgmDwclkkR5SGyEgizfZyOhn6vs8W/QkgjO10laRmOL/khwkoNHUieSRHkkmNJJlE+CKbG/2x4TQMSakAImS5QmpAIAnuyRmM5xA9kjQQcFeJS9BRjQkAatFvMoEiCwDKXmEJZhj4L2t5r5sUIa74Dqj4bxPl0xls8zieqP2G0B/BJMuQqHHhkJ4HSXOgikEGKiBKAFAHwZEjkKv/p9+cvMzh49I2zWP5vpKBIlDVpdQSZr/UBxqY7dSQDqtYZldMz6JDY6NN5eicvEeUsMOAdWJy7iya4PyydEBHjPY9ZCBAxG7Ne3Onu0Jd+r7BmMxhiM+GcOc6AEoAzwofCnTUhKZqxJDBQH/ByUVPmy7cEe9UdjjC3/ewL8GrTkWD4f9kiqkW6SKCjo9AY89XNSA8UDRh9JSWx8EhfugeKAX4I5DYYVvSeZRjo9s2zds1lXGZNKvtuNABZfbHzXcnukqqkcKAEoA3zYI00ZFCDJHnloQAVLdPO/b7EtMsGw+x1+DkqGyQL82CNNLJ8YO6ykzNz2SDClBooD8LpBS06ru/7ZSGn5pg1aCuQ+gN94H8mGR0DHrGpnj08lChC4TtajQWvqo0oTUgHgxx6JOW9lDIlvg1bNAM06M0MyZUBXbW6Z9wT4NWiJaXUD2CNVLJ+aJiQpecL6Z9MfyQwUd/boOWt81rAMi1/Z4yFrkaxE+VbplJAk3cFYTyVq8p64Zw77PJtZY+rmhXObZ/EGwCfzltOA+o9pkcig/MrMQgPFPZ6NVJAF+DVoaWKPpEp0vuN9xCY5eMlIpKYVeJw1fWkWf91ZIyQj8ZDYSLF8gGf1R0zjvX68j5gW3yPBdCy+RJDlO4ZJipQA1iRRgmuYGiUAZYDPhpK88WKdLW6gOLezrOzxZEiEHALgubmlRlQp6gStfp/HGhZLXLQ00vlJbNytKty2AJ5BllQA6lFmlmomAfyejZoGLeEEcyWzJjYOb70tbu+LkCS+70lyDSshSahRAlAGeB18QmMcpleLrTpohK4FBfwPYalAAvAsbwjYs+XZfSllCzBbp4sg+Ww6zfo0WFhuj9yoobUSm75QiW6S7K56T1IDxYFq3ayyBZAcKD5ZwwrOYaA6X/32t8x7cr9vlS0Af2k35D2JBH2+70nAX7r/3q7P/i4BaAHgG9gIlsUaq5235Ob2OYSlZpoFHcJC9hyucd6SA8UB4GgwXGkLILNutlurAxupgeLOFgA47K94NkJreLvVqGxRtL+9AlAB5+3e0yp7pJqQnD3r9rfY2efxbLqDEZp1gwbztaD1mkG7UVtti+R78jiHe0IMqPsdq+xx/lSiqkCNEoAywGWw6wKbVqMaPs6NdUFf15U3BDLv7WYdg5HFYLS6q082kPAYcSGR7bb0sHzTwGZl5i3XwFE57+UBn9RA8ep3VM9mZWAzkBsobsyaQEJooDgwSaKUlC+3PPb3kVCZGfBLMKUkNtPgfI2PkhpuvrUmOJdmqo8GI1i7Wh8rcw5P1nAZw1TgCx8H1RUSVAPrM2/pzQ2sdwqSDupoFZMl2CW7LsgC5AaKhwTn3KNIgGptrg6G5dbwtgcrUTVM8NtijFkb2HQF97cPyyc1UNxHRiJZvlzHDksOFPfd31JBzTrWUbQS1arD2vUTQNT4qNKEVDAP780ttGC2Wg0/lk+QWVvnFNoCQVZrcv2lz7ORCfpWvydAnj1al0RJDBQH1pfgJZMoX/ZIan9vr2HOpYOs/nDNBQZCzttXKgFIBufrWXwZptpVOFZLbCQZ0FVyH8lK1CzBXLVuFFWiBEkSapQAlAE+AahUIOHs0dJM4sqS6w5iiWdjjMH2muYWTQyJ5EBxjUGWliTKl8UXdd5eTUg6gj6pWZc++ljHckmw+FvNxppzWK7T20cfKyWFquxZR5JIVqLWB31SBFK9ZtBap48VJEmosXkWbwCmLN+aBg4pB7Uu85Z0ULPMO//mBtY7b6mB4kCVeQ8nI7EWoTeUGyi+7fGepMpQQMXia0kUfFh8qSALqN7V6oROznlP5UdrmqKkxqwZs7qDWGrmMDA5h5Vo+bySKKFOb2ePn0xMQuPtNx1FYpID4F/hkIonKJH0BI0xl40xv2aM+cLk/y8t+J43G2M+Nfe/u8aYH5987R8ZY74697XvS7FHC7xK8EMZCh9YL36X7mYGPMTvAvo5Z482Zm1ZYNMTnJzgoz2SDbLWlS8nQZYWlk9oUDXg4bynXbIyTYbA8jUsOVDcRx8rFQwDHjISybPGUx8rGWRpmWXrW8EUI5DWabwHIxgjw+JTI9Xi9wH4mLX2cQAfm/z9GKy1z1pr32atfRuAvwjgEMAvzn3Lf+u+bq19KtEeFfDSzwmyR+syqFkXvJLNLegU1uljZwPFZTSg7ncuswWQOYRbjer2oXXvSWr0h2+QJcmQrJUnaJHYZEgwl70ryYHizp6VI6oE39NWq7pMYZk+dtaRL9dkuNIvCK9hTU1IgKbqz3r9uxSLT43Ulf4kgA9P/vxhAD+w5vu/B8CfWWu/nPh7VcOnS7Y7lGRI1uhrMpQ3VjJrQgJvwAXnq7vgJQ9hYDmzJjlQHFjPnIuXoZQ0IfnM5tOkj9XkvKVvbfGR2Egww8D6oE/q+tbKFj8plFyVbrU+tjc9+wQlNkv8wnhs0ROsYFb62FWVKLn3RI3UnfegtfYaAEz+/4E13/9uAD934t9+zBjzaWPMhxaV8DcRjXoNrXpNDcunqfSz7uBzA8WlgnMf5y3ZTAJsjvOWDLK2JvrYZfNjZSc5eCSYghrvdbdEHU0Gikuw+OtKu5IDxd3v0dDwCMz0sesSTJHrJqfzY1f3Bsg9m5qaaQXrEkzJmwOdPeu64DexAx7wCECNMb9ujHlmwf+eDPlFxpgWgO8H8L/O/fNPA3gjgLcBuAbgn6z4+fcaY542xjx98+bNkF+dBVsejT/STUjLButKjyIBVmxu4aG6664OlBooDngwJEOn5VNSvhQuQwEe60bowoD537nQnqGiErzoWbMmyBJkqgE/iY3kWQOsCM4Fzz4/fexYUCqx5j1NRg1JaIfX+yg5W4D1F5RIzYbmQGPdN1hrv3fZ14wxLxljrlprrxljrgK4seKj3gXgD621L8199vTPxpifAfCvV9jxQQAfBIAnnnhi+ZA5JVjHrB32R9hprX38JNhq1TG2WFo2OBRk1tbpY6e2KClfHvblGqLWZt7iDGhjTROSnAZ0vvP8wlbz1NePBMuXs/mxi5/NcDJQXE2JLgOLv07HLFbhWJNgHvVH07XFbsu6CodwN7NPV77k2ef0sYtuB3QsPve1oMB6H5XjPX31to4qHTVS3+ZHALxn8uf3APilFd/7gzhRfp8ErQ5/HcAzifaowbry5UFviO22XBcdsGJD9YfYbtVlBoqvCbKcjXLB+erM+3AwwnZbLlEAlpfFDoSfzdrgvDfCjmCiACxn1pydEnvKzY9d9mycU9+WKtGtYUgO+yMxW9YGWe49aVnDgs9mHYt/ON3f+SU21loc9ofYkfJR6xKX/lBPojA5gyT9wqpY4rA/FPMJ1EgNQH8SwDuMMV8A8I7J32GMedgYM+1oN8ZsT77+Cyd+/h8bYz5jjPk0gO8G8BOJ9qjBqtmbo4mIWS6QWD2Q+UDwEJ7qY5cIvA/c5hbVxy5njw57Q8Ega7U+9nB68OmYnnAg6BTWO+9hNbRZgCFx9ixl8XvCQVazjsFouT72oKeH5ZsmUUJreF1wfjQYYUcokFhHBEzXjVRgs4Id7g3HGFvZRAFYnmAe9OWSXcf6LiUCerKJwro53of9kZhPoEbS6rLWvoKqs/3kv78I4Pvm/n4I4L4F3/dDKb9fM6rh0GsCCeHMe9mGOuzJBRLOnuUleNns0pWhrLULx1gc9Ee4uN0SswXwYUjkHNTNvd7Cr1lrcdQfqWFIqiBLbhTJKmbNJVGSQRZQrY8LW6cD8IohkbVlmT72sOfOPrn9vboSJckOr9bHSkqhgEn1Z+l+kl7D1bPp9hcnUYf9oZhPqNUqfezSs6YvvYZXX8Jx2B/hNZfuTQa0YAlWZd6HGcpQ87/3JCQZUGfPUluEs8utVh3WzuYTnoRkGWqd9sg5BUkGdNl76o/GGI6tmjUsXYZaJd0QZ0DX3Mx00JeTkazTx8rLSFbrY6v9LSyxWeoXhthq1hdqIDlQ6WPXSFqk9/eyypig3MfZs25/i/mFZh3dwRjjJfNjKwJpMxnQEoAyYXWQlY8hWQTJQ9jZs5YBFSxfVr93FbOmw5apU1Aw/H0WZMnNCQRW62Mly1Cr5sdOGVAt+lhBGclafaywjGQVETAe2yz62OWJglyy6+zRpEed/70nIdks5uxZ9Z4A+eB8OSMrJyOhRglAmbA6yFLGkAiWoSp7lmtaDoSzy/VjY+Sct48+ttWoiXSCAm449LogS4kGtCfLgK4q7UrLSNYza7LOu7PKefdkGdCtFfrYI+FmsbUsvmCyC3gGWUr0sdLB+aoRVdPgXBGBJDU1hholAGXCqiBrFoDqOPiOBEdCAWv0sQPZ4HxV2Xs8tqJd8M6e7goHJV6GmuhjT9ki2HXubJn/vSchLSPprHBQ4jISZc57NbM2hDGCY5hWrBtpJsuNylmlLdQihRKvcHjo37eEE8x1+lgxH7Vif/eH1cg3Sb9AiRKAMmHVYF3pTu/ZfMnlbJbkwbdSHyssT1jloLrDEayVCyScPavWjTRDskwfO5WRKEgUAHkZyaoJATka6arfq4RZWxOc77QaYs1iq9aNtJav3aihZlY3IckGoMv1sTmmkQArfJSgjARw7LAWAslNsTltj7RkjRolAGXC/GDdk5gdfDo0JNJjHFYHWaOKIZEagLzi2RwIswDOnmWZ92FPruscWB3YiB/Ca9ijwywyEiUM6Ir31B+O0R+NxZOoZfrYwwwsn/u9JyHNgBpjVhMTPXktvrvV5yQOxSU2q2Vi0jKSdQRSq1ETudq2smUViy+bRFGjBKBMWBX0yWeXq+dLHgjr51bPUBxiuykzFB9YrY/NkV2u0hZKM6ArnfeUqZaxZ6qPXVVmFmX5Gnoa6dwaXhD0TQe/i7LDq5y3bMOEa15blUSpOfuEGdCtZr2aZrFAHztNvoUvS1n0nqy18hrQNXN+pdlYYBmLXxjQggVwB/4i530oXL7sNGswZvHmHo7G6A3H4oHNqjEt0lofYEl2KVyiA1z5cnnpR/YQnszmW5BESTOglT0rymK9HCz+cKE+9qBfXRvYEror2kfnKF++XKY3z8OALlrD0mPNnD1akqjZ6KPlybe4xGaBLd3BGFZwKD6AlZMcchEBi/ZUYUALFmJVV5/b8FKda8ZMBusuCoYH8gt41WBdybmbwGp9bA4GtLp/XUkZagUrMRu2Lp24rGBIhJms8RJ9bI6LHYA1LL4SfazTgEraAihiQFd1VwsnUavWjUu+pYbiO33s4iBLti8AWKPxziWFWpQoFAa0YBFWHny9Eeo1g7YQQ+LsWWYLIBcMA6sH60rO3QRWZ97S4zaA1Zm35I02wPo1PP89EthqLtbHTq8NzOAUlrESou9pVaIgrEcFqmfjfu9JVDfayAdZq2Qk0ozsqvmxeoLziqmWkkI5fezBwoqh7GQUwF00sappV9YWYBZsHrdFPomiRAlAmbCqMcB1nUt1gjp7lh00gOwCXpXRHQ1kgyz3373IYeZgQHfajaljPImDnuxIqFUyEukGDgA411n8bKQ78oEZ87vIYR4J3jwEVPrYdqO20JYc72lnpfOWZUDPtVftb9lmUPe7FtkyGlt0B7JSqHPtJgAs3lPC1RagSvQPFzybHDKSc+1qfmxvuMBHCWt1zzkftbLCUUrwBXOYOqgFm/tQuAwFVE5hf5EtGbR85zrLn410kNVpVlcH7vcGC20BZAOb3c7i9wTIM6C7k/e01128btyzk8K5dgP7S2wBZNfw7mSNLnpX0mPNgMm6WfBsjjLt78P+aMkEENlnc27NewKE182S/X2Yoczsns3C/d2TlUI5e1Y9G0m/sCpxkQ7O3XtYtL9z+ChKlACUCesOPi0OSrqbGVhz8AkHWcaYpc8mR3bpDuGTzS2zawMFg+E170maIVnuoOSZLJdELVw3wiOhgOXPJkeTwuqzT7YLfvqelhAB0lKo9UmUbLILLH9P4vu708TeElICEGZAOxU7vMwvSO6nRr2GrWZ9IUlSGNCChdhd4aCOhOduVvY01TCg5yebe6+7mHXMEdgsPPgy6GvOdRoY29Oa1KMMzWLrnLd4kNVpLAyGHZMlqWOeJlFLEkxpRuLcsiQqQ5PCqsBGeg5ou1FHq15bum6kpVDn2ovP4RkRkCNRWBzYSN+us9tuYH+BT8ghhZrtbyU+aglzPh2XJdQsRo0SgDJhd6KvWeagtps62KMc3cwrAxvh7BJYwUr0ZK8NdLYApxOXHFq+rWYdNbOk9JMhyNpdxoBmkkoAyxgSWRkJMEmiFr6nDElUezF7NL02UPrZdBqLg6wMUigXSJxswMzBgK5i8aWlUMAKH5VhHN7q/Z0nOF9WiWo3amgIDcWnxmZavQFwm2URy7ffG043vxQq9mhRNievg1oWZAFuDmgGecKyMlRTliGZ6i5P2JOj69wYs7LsLf2enPM+KU/IoeVzQdbCoE/42kBnz6Jk1zGgouxwZzGzdpjhPQHLE8wD4Y58YCZrOdkwNmuk08Hi5wiylrL4GRnQk2ffVAolHJwv91Gyt2dRowSgTGjUa9hu1RduqL3ucBpoSGFZBuX+bXdSFpfAsoOvNxyhPxxPS/SS9iza3HvdgXiisCzzdvadEz/4mgvXzd0Ma/hcuzntFp6He1aSz2ZZkFX9m7xT2F3C8u33qmsDpYbiA8s13u7v4gzokv293xuK76dl1Z/9nvyzaTdqaNbNQh+135Vfw8tY/L0MZ597TyftcYnDOekq3ZLgvHpPm1l+B0oAyorlgU2GALTTQG84Rv/E4Oy7GZz3siBrFgxnEL8vTRSkg+HFzNrdCXstb8/iwGavO5BPFKbs8HF73LM5vyVnT8WMn17Dw9EYh/1Rlv29yEHd7Q5xPlcS1Vu8v6XtWaYdznEOL6v+5Dj7VlU4cvmo/f5pecJed4hGzYhKoXaXkCQ5CBtgRXDeHU7lfpuIEoAyYtHBZ63FXneQZQEDp0cf7XUHONduiI/TAZY7qBxOQZ2DOhlkHeUKzhU5KEXOu1YzONc63bw2C7LysPgn5Ql3cyQKS99TniRqmXZ4rzsQd96zJErHs1nErI3HFvv9HMl3A9aeng9d+cuGbLPYGpJEfk8tbl7LcQ5TogSgjNhdMFaiNxHi52D5gMVlMWlb3FiJk5rU6SEs7BTOLylf5kgUls3edM8mS2CzMDgfZAzOTz+bTrOGprAQfxHrmI/Fb0wGZx+vcGRJotYwoCWJOh3Y3M2WfJ/2Ufv9IazNw1QDi4M+6XN42oC5pNqSgx1e1MNxN4OPokQJQBmxaKxEzlIqcLp8mSOQABY7hZwMaHcwxmCkwHlrY4c7p1m+wWiM7mCcha0BdDgoZ8/J95Rrfy8bjJ8jiXKd5apkJIvkCUc5EszJhIAF+7tVr6EjPE5nd8GzyXkOA6eDvhzn8FSesJTFz6NjPlnh2MsgsaFECUAZsbugBD/d3MIC7/PKnPeipqicZSjgtDwhh35uR1GZGdDpoBaVvbMkUQtKuzl1jsCy/S1rS71msNOqq06iRmOLgwxa3eXvSRMRkCmJWlH9ka78VPacZoezaUCXzIfe6w5Ete/UKAEoI1Y5KE1lMS0HX74y1PKDT/qgaTWqe70XOYXtVl183tui8R+5HdTp8mWeMtSi5rVsSVR7GbOWJ7DZ7TTVsEe77Qb6w/Gxe733c581Ws7hBT4ql958GTt89yjPs1kksbmbK8FcQEyMxxb7vaIBLViCRQLv/VwZlKIgC1iyuY/y6BwXZd694Qi94Vicqa7sWZx553FQzVP3eudmQBclUTnKUIuaW3I/m8Uabx3yhL1uNTS73ZC/BQ44fq/33YyaakBTEqWoErWieS3Ls1m4vzOzw3P2HPSHGFv5s4YSJQBlxG6neWqsRDYNydLuSz2ZtzsIxYf0L2CPcgUS7neeOoR7+RwUcPzZ5BLiL2fx85ToVmnEpMtii0YfuZFQuZ7NybPmbq5geEFgk2t/12ummg+tQOcIuCTqtC1AYYeXJVHSI6GAdWu4lOALFmB3MlZi/taLfFq+xdfj5WTWFrE126266EgoYN55zw7inJt7WXCey0EBi4Nz6cCm3aij1Th9r7c2BwXoaOBwtuVLok43POZgqhfNj83VEAUsZ9ZyEQEnGzCzSSUWSGzcSKgs62ZJgnl+qyk6EsrZAughSahQAlBGrGaPZA++TrOGRs0cc1DdwQj9kfzNQ0C1ae4ucFC5Aonq989v7jxMFlAdNk6O4JCNPZo8m3l7cgWgQBUQn143eVn8Y/KE3jDLSKjZe9LhoM61G1O93Lw9OZOoRc/m/Fae82beFmdPrnPY/X6Hu5n2t2vAnN/fbiRULpmYlrPG/fcfP4fzJVFUKAEoI85PF83pg0/6CjhjDM5vNXH7cBHLJ7+hzm81TzvvTEHWhUmQqeXZXNxu4vaRjuD84sJnk4chAYAL203cmbNlMBrjaDDKsm4ubVe/884Jp6BlDedk+S5ut47ZAuR7Nhe3WwCAO0f9Y7YAeZ7Npe0Wbs/ZUtmT5+xzz+bVw/lnk2ckVLNew267sfAczpEouDU8P/ooVwB6cXLW3F5IBBQGtGABnIOa39x3jgbYFb55yOHidnOhg8qReV/ebsLa4877bqYSnQuy5t+TyzTzHDYt3D487qDuHuUpQ13aqRzU7RMOCpDX6gKV8z7pLIE878k9m+PrJo+DatZr2O00TtkC5HFQl7abuH3YV+G8L+24/a0jwby03cSrBzNbRhm7maeBzeHx4DxXWffiTvOULUCuRKGJ4eTdONw9kr89q7JlwVlTGNCCVZg6qIPZonn1sD/9d2lcPuG83UbPYc8i5/3q4QCXM9jSqNdwvnM883bOKoc9l7abeHUu87bW4vZhf3oIydpS/c5bh8fX8G67IV5mdvbMBxLTNZzh2UzZo7n9ffsoz3sCTgfnjvG7mGndDMf2WEPJq4eDbLYAwK0T5zAwY44lcfHUe6rWsyMsJDENbA7m99RgGpjmsOfW/Dk8sSuHPRcXPZujwTShkcRWq45Os3b8rDnMt26oUAJQRix23oNsAejF7daxQ/jWZGNdzugUjgXnB/0sDgqoAuJFDipHMHF5p4XR2E61WHu9IYZjmynIOl3affUgXxJVsUcL3lOmRKGyYfZsbh0MMgagzVO2AHmSqOm6mdhgrcWrh31czuC8O83Kec8za68e9HG+kyuJah4LQN25k2MNX15ABNw66GdZM8Dp6o+zKw8RsIAkOcidYM7v7z6MyZNEUaEEoIxY6rwzZSyXd5onWD7HkOQsKZx0UPkOvpMHzVazLq6DcrYAM3bv1YwOqtOsY6tZPxb03cqYRF3aaZ1wlgqSqBPrJkeQBSx33nn3d2XD3W6l91bjvDNVW4DqPXUHY3Qnt9rkDLIW+qhM1RZgeXCeZ38fl2aNx/l91Mn9fWGrKX45CSU21/INQKdZx06rfopZy7GZAFfemOmyXFCRJbt0uqyJDUeDavB7zoPv9jEHle+gOcmsTQ/hTIHNSWbt1YM+Lmcs0fWGYxz1R1NbAGQpi53Ux1prcSujxObSdvNEhaOPnVaeJOqkxCbnWQNMGn9OMlm5pFAnns2UAc1w9p1rN9CoGTUM6KXt1pQ1B2brJot0Y7q/K3vudgcY2zzvCVhU4cgXS1ChBKDMWMSs5WSP+sPx9D7ZW4d9tOo1bLcyOKjtxYdwriDr8gl5wu3DPFof4LR2OKccwNlz0kHlDLKAuXWTkT3aadXRrJspC3vYH6E/HOdLMHdaqqQSwMx5u/eU7+zT47yna3iybnIG58aYYz7KVaLyrZsW9nrD6VzSWxO9eauRR28OLPJROjTeOd8TFUoAyozLO63pAdMbjnDQH2Urwbvf6zbS7YMqyJIeqgsA2606WvXa1DHNxOY6yhu3Mmt9gHn2KJ+Wz9lz8uDL5bzd+nBr+NWDPtqNGrYysHzOed8+yWRlfE/7vSH6w5nzzrlmgOPvCchTSgUmRMCxBDOf8z45+uhW7gRzrit/vzfEYGQzJlHHE8ycSdSFrSaMWUAEZFs3J/TvGfXmVCgBKDMu7cy6+qZda5mdwjwrkWsBG2Nwaac5Lbfk1EEB1SF80B+hN5zpsrSU4DUcfG7NdAcjHPZHepi1SbkwRxIFHJ8sMV3DmZk1N2MyZ8PE+YnzPhmc59xTx1j8w3xa/NMJZh+dZg1bGSpRwPEKhwtEcwfnMx+VT29erxmc7zTnpFD59OZAtW7uHA2mV3u/mnENU6EEoMxw8/AA4JX9vA7KHf7zrETODMppUudtyllmBmYHcE4G9HyniZoBbh30AACvHPTRqJnpjS7SuLzTwiv7lS2539N0Dc8FfblYc8CxEse1urmlG86OnEFWvWZwcat5an/nGu9zeeK8R2OLw/4Q3cE4qxwAmDFrr2TW8s3Lj16ZnDnZGmVPMOe3DnpZg6zLO625Kl3eNXxpp4XxZHa2tTarVpcKJQBlxv3n2ri514O1Fi/d7QIAHjjfyWYLANzYqw6Z63e7ePB8O4stAHBlt40bk2fink0uex7Ydc+mi8P+EHvdIR7IZEutZnBlt42X7lbv6aW7XVzZbWdj+R4838Hd7hBH/dFsDe9mek+TvTNbN71stgDVs7k+seXG5H09sJtnfz84eTYv3XXnTS/bWePsuX6neiY39nrYatbFb4BzeOB8B2ML3NzrZX9P9+200aiZ6bq5udfDlazvqT3d18435FvD1V5+aW5P5dzfDyzwUVcy2TN9Nntd3D0aojccZ7OFCiUAZcbVCx0c9ke4ezScHjgPXcizud3vvXb7CNZa3Ljbw4OZbAGqZ3PtTvVMrt3pYqdVz3arw9ULW1M7rk9seiijU7h6YWtqx0t3u9nWDDB7DtfvdqeHcC57znca2G7V8eLt7tSmqznX8MUOrt/pwlo73d+5Epfpe7pzhNuHA/SH48xruIPrd48mNlXvKVcS9fDFydl352h65uRaN/WawYPnj599VzO+p4cubOFud4iD3nB65jx4Ic8avnqxOoev3+liMBrj5n4v6xp++OLW9D1dv9vF5Z1WlqkSwJyPut3Ftcm+yukXKFACUGa4RfPV20e4fqcLY/KxR51mHffttPDinS5uHfTRH42zHnxXL2zh5n4P/eE4e5B19eIsOM+dKAAuOK8OmWt3utkDicqO/M7bGDMNbPrDMV7e702Zvxy4er6D/miMWwd9XLvTxX07LbQbeRzUg+c7MKZaL+49ZU1c5pKoqtqSM4maBTazakvOZ9OZJZh3Mp990/3dxfW7XTRqBvfv5PFR59oN7LYbuHanO6kcVusoFx660MFLd7sYjy2u38m7ho+9p8znMBVKAMqMq3OZ90t3u7hvp53l9o15e+YDiZwH38MXO7C2KntfzxyAXt5uoVWv4dpdPQzotQmzlt1BXZxl3tfvdtGq17Jqj9yzubHXhbV5D+GH5pjz3ElUq1HD/efauH6nO2Uecwc2L+/30RuOpgxoTlsA4MVJkAXkDs4rBnS/N8Reb5jdFmASnE+CrFotD1Pt7NGQ7LrfPRhZvHzQy15teWC3jZqpKhxTpjqjj6JACUCZ8fDEQb14p4uv3j7KnrE8dH6rovCnAWjO7HLmvF+8fTRlKXKgVjPVwXdbB3vkpBsvvHqEg/4oazA8X4K/druLBy/k06MCM/bIvafcMhJgfg3n3d9XL3Tw4p3uVKKggTl/8XYVnOd8Txe3m+g0a7h+5wjXbh9ht9PIpkcFgIcnQdb1SZUjp194eHoOH+HFO0fZy7pXL1bMuYYgy1Uw3XmT05ZGvYYHdqvE5cVpNbUEoAUrcGW3jWbd4IVXD/H8zQO8/v6drPY8emkLL7x6iD+7uQ8AeP19+ex5ZMKsff76Hl6628MbruR9No9c3MKf36qezUPnO9hu5XNQj16qns1v/ulNAMi6brZaddx/roUvv3KAL758gMcyrhmgek8v3e3ic9fuAgDekPHZPDJ5T19+5QBfekXH/v7KrUN88eUDdJq1rAGoeza//dzLGI5t1rPGGINHLm7hy68c4vmX87+nRy5uoTsY4/eevwUAWffUgxcqZu3Pb1U+SsP+/vKtQzw/8VGP3b+d1RYA+PQLd3DroI/XZ7QFqPaUezaPXtrKMqCfEknWG2P+pjHms8aYsTHmiRXf905jzLPGmOeMMe+b+/fLxphfM8Z8YfL/l1Ls0Yh6zeBrHtjFp/78Nl68c5Q9yHrzQ7s46I/wvz97A/efa+NCxhEXj923jVajhqc+fQ0A8EYFz+ZPX9rDczf28cYH8trypod2AQC/PHk2X/PAuZzm4E0P7uJz1/bwZzf3s9vytQ/tYmyBpz5zDa1GDY9eyucU7j/Xxv3nWvj1z72E7mCMN2Z+Nm9+8Dy+9MoBPvPVO3jD/eeyllK/9qHzAGZrOPez+dqHzuPZyf7+miuZ39Pk2fzrT78IIO+zaTfqeMOVc/jEl27hxl5Pxf6+fTjAb//Zy3jk4lZWIuCND+ygUTPT95T72bz5oV18/tpdFWuYAqnh8zMA/kMAH1/2DcaYOoD3A3gXgLcA+EFjzFsmX34fgI9Zax8H8LHJ388c3nL1PH7/i7dgbbW5ctsCAL/3/C28+aG8C7hRr+HND+7id59/BUAV5OTEW66ex2F/hE+/cCe7LY/dt4NOs4bfff4VtBs1vPZy3sz7666ex2e+egeH/RHenPnZfN3cGn78gXOoZwyynD2Oycq9br726i6sBf7gi7fw5sxnzeWdFh4838bvPv8KjAEefzDvefN1V3fx5VcOce1OF49nX8PV7/+952/hkYtbWeUAlT2zNZzbL8zv7zdlXjPtRh1vvHJOzf7+uqvncbc7xOev701Jik1GUgBqrf2ctfbZNd/2dgDPWWuft9b2Afw8gCcnX3sSwIcnf/4wgB9IsUcrvuWxS3N/vpzRkiqDakwc9re+/r6stgCz53F5p5W9LPbE3Hv6tjfkfTb1msETr6uezbc8dhmNjI1rzgaHb838bF57eRv3n6uaoDStYQD4C49cyGgJ8M2vnV/Dec8aYPZsvv7h8zifacSawxNz7yn3s7m43cLjEzbtW1W8p9m6eSKzj/r6h89P/5z7HAaAb3l99WwevtDJWm0BgLcfW8P5n00qJLzaIwC+Mvf3Fyb/BgAPWmuvAcDk/x9Y9iHGmPcaY542xjx98+ZNNmM58Nfe+jC+8dEL+Nt/6THcdy7v4NhOs46//1fejDdc2cF//C2vyWoLAPytb38dXnffNn7iHW/K2tgCAG+4cg5/8y8+iidedwnf/ealS1EM//l3vRGPXNzCf/adb8htCr77a6/g7Y9dxn/4zY9kTxRqNYMf/9434XX3beOHvv11WW0BgP/4W16Dr3ngHP7Lf//N2TVZV3bb+OF/5/X4+ofP469+48NZbQGAv/PvvgGPXNzCf/FdX5PbFLz9scv47jdfwfd+3QN422su5jYHf/d7Hsejl7bwf/6O1+c2BU++9RG85ep5/Gff+YbsicJOu4Gf+N434fEHzuFv/MVHs9oCAH/7Lz2G117ext/73sdzm4I3P7SLJ9/2ML719Zfx737N/bnNSYax1q7+BmN+HcBDC770X1lrf2nyPf87gP+rtfbpBT//NwH8+9bavzP5+w8BeLu19u8aY25bay/Ofe+r1tq1OtAnnnjCPv30qV9VUFBQUFBQUFCgBMaYT1prF/YIrRWeWGu/N/H3vwBgnmp7FMCLkz+/ZIy5aq29Zoy5CuBG4u8qKCgoKCgoKChQDol60ScAPG6Meb0xpgXg3QA+MvnaRwC8Z/Ln9wD4JQF7CgoKCgoKCgoKMiJ1DNNfN8a8AODbAfyyMeajk39/2BjzFABYa4cAfgzARwF8DsC/sNZ+dvIRPwngHcaYLwB4x+TvBQUFBQUFBQUFZxhrNaAaUTSgBQUFBQUFBQW6sUoDutlj9AsKCgoKCgoKCjYOJQAtKCgoKCgoKCgQRQlACwoKCgoKCgoKRFEC0IKCgoKCgoKCAlGUALSgoKCgoKCgoEAUJQAtKCgoKCgoKCgQRQlACwoKCgoKCgoKRFEC0IKCgoKCgoKCAlGUALSgoKCgoKCgoEAUJQAtKCgoKCgoKCgQRQlACwoKCgoKCgoKRFEC0IKCgoKCgoKCAlGUALSgoKCgoKCgoEAUJQAtKCgoKCgoKCgQRQlACwoKCgoKCgoKRGGstbltCIYx5iaALwv+yvsBvCz4+wroUd7h5qO8w81GeX+bj/IONx/S7/B11tori76wkQGoNIwxT1trn8htR0E8yjvcfJR3uNko72/zUd7h5kPTOywl+IKCgoKCgoKCAlGUALSgoKCgoKCgoEAUJQD1wwdzG1CQjPIONx/lHW42yvvbfJR3uPlQ8w6LBrSgoKCgoKCgoEAUhQEtKCgoKCgoKCgQRQlA18AY805jzLPGmOeMMe/LbU+BP4wxrzHG/IYx5nPGmM8aY/5ebpsK4mCMqRtj/sgY869z21IQDmPMRWPMvzTGfH6yH789t00F/jDG/MTkDH3GGPNzxphObpsK1sMY8yFjzA1jzDNz/3bZGPNrxpgvTP7/Ui77SgC6AsaYOoD3A3gXgLcA+EFjzFvyWlUQgCGAv2+t/ToA3wbgR8v721j8PQCfy21EQTT+XwB+xVr7tQDeivIuNwbGmEcA/F8APGGt/QYAdQDvzmtVgSf+GYB3nvi39wH4mLX2cQAfm/w9C0oAuhpvB/CctfZ5a20fwM8DeDKzTQWesNZes9b+4eTPe6ic3iN5rSoIhTHmUQB/FcA/zW1LQTiMMecB/HsAfhYArLV9a+3trEYVhKIBYMsY0wCwDeDFzPYUeMBa+3EAt07885MAPjz584cB/ICkTfMoAehqPALgK3N/fwElgNlIGGMeA/BNAH4/sykF4fjvAPzfAIwz21EQhzcAuAngf5zIKP6pMWYnt1EFfrDWfhXA/xPAnwO4BuCOtfZX81pVkIAHrbXXgIqkAfBALkNKALoaZsG/lbEBGwZjzDkA/wrAj1tr7+a2p8Afxpi/BuCGtfaTuW0piEYDwDcD+Glr7TcBOEDGsl9BGCYawScBvB7AwwB2jDH/SV6rCs4CSgC6Gi8AeM3c3x9FKT1sFIwxTVTB5z+31v5CbnsKgvEdAL7fGPMlVBKYv2yM+Z/zmlQQiBcAvGCtddWHf4kqIC3YDHwvgC9aa29aawcAfgHAX8psU0E8XjLGXAWAyf/fyGVICUBX4xMAHjfGvN4Y00IlvP5IZpsKPGGMMah0Z5+z1v43ue0pCIe19h9Yax+11j6Gav/9/6y1hX3ZIFhrrwP4ijHmzZN/+h4Af5LRpIIw/DmAbzPGbE/O1O9BaSLbZHwEwHsmf34PgF/KZUgj1y/eBFhrh8aYHwPwUVSdfx+y1n42s1kF/vgOAD8E4DPGmE9N/u3/bq19Kp9JBQX3JP4ugH8+SeSfB/CfZranwBPW2t83xvxLAH+IarLIH0HRbToFy2GM+TkA3wXgfmPMCwD+HwB+EsC/MMb8MKrk4m9ms6/chFRQUFBQUFBQUCCJUoIvKCgoKCgoKCgQRQlACwoKCgoKCgoKRFEC0IKCgoKCgoKCAlGUALSgoKCgoKCgoEAUJQAtKCgoKCgoKCgQRQlACwoKCgoKCgoKRFEC0IKCgoKCgoKCAlGUALSgoKCgoKCgoEAU/3/2SE7Ma4eW7AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Beeman_Run = Beeman(A, 1, 0, 10**6, 10, t0 = 0, return_error = True)\n", "plt.plot(Beeman_Run[0], Beeman_Run[1])" ] }, { "cell_type": "code", "execution_count": 19, "id": "5d80e9a0-781d-46a0-9728-91fed33e62ed", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(Beeman_Run[0], Beeman_Run[2])" ] }, { "cell_type": "code", "execution_count": 20, "id": "99ab67e0-e010-4937-808a-c8cb2b90dbd8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(Beeman_Run[0], Beeman_Run[3])" ] }, { "cell_type": "markdown", "id": "e5194244-a172-4a6e-89ec-146464ffc0dd", "metadata": {}, "source": [ "### MĆ©todo de Leapfrog:" ] }, { "cell_type": "markdown", "id": "78e4b5d6-f079-44c3-a8c9-3129c1aa616a", "metadata": {}, "source": [ "El mĆ©todo de Leapfrog tambien esta relacionado con Verlet. Este mĆ©todo es de orden 2 y el cĆ”lculo de la velocidad y la posiciĆ³n es asincrĆ³nico. El integrador tiene la forma:\n", "\n", "$$\n", "\\ddot{x} = a(x)\n", "$$\n", "\n", "$$\n", "v(t + dt/2) = v(t - dt/2) + a(t) \\Delta t\n", "$$\n", "\n", "$$\n", "x(t + dt) = x(t) + v(t+ dt/2) \\Delta t\n", "$$" ] }, { "cell_type": "code", "execution_count": 21, "id": "0f4d5f1f-42a3-488d-9675-4853c47c5c7c", "metadata": {}, "outputs": [], "source": [ "def Leapfrog_step(a, x_t, v_t_1_2, t, dt, w_0 = 10):\n", " v_next = v_t_1_2 + a(x_t) * dt\n", " x_next = x_t + v_next * dt\n", " return [x_next, v_next]\n", "\n", "def Leapfrog(a, x0, v0, n_steps, tf, t0 = 1, w0 = 10, solution = np.cos, return_error = False):\n", " dt = (tf - t0)/(n_steps - 1)\n", " t_x = np.arange(t0, tf+dt, dt)\n", " t_v = np.arange(t0 + dt/2, tf + (3/2)*dt, dt)\n", " x = np.zeros(len(t_x))\n", " v = np.zeros(len(t_v))\n", " state_t_and_prev = [x0, -w0*np.sin(w0 * -dt/2)]\n", " x[0] = x0\n", " v[0] = -w0*np.sin(w0 * - dt/2)\n", " error = np.zeros(len(t_x))\n", " error[0] = abs(x0 * solution(w0 * 0) - x0)\n", " for i in range(len(t_x) - 1):\n", " x_t = state_t_and_prev[0]\n", " v_t = state_t_and_prev[1]\n", " new_state = Leapfrog_step(a, x_t, v_t, t_x[i], dt, w_0 = w0)\n", " x[i + 1] = new_state[0]\n", " v[i + 1] = new_state[1]\n", " error[i + 1] = abs(x0 * solution(w0 * (t_x[i + 1] - t0)) - x[i + 1])\n", " state_t_and_prev = new_state\n", " if return_error == True:\n", " return t_x, x, t_v, v, error\n", " else:\n", " return t_x, x, t_v, v" ] }, { "cell_type": "code", "execution_count": 30, "id": "253887e4-acc6-4f6d-9889-2146acd58432", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Leapfrog_Run = Leapfrog(A, 1, 0, 10**6, 5, t0 =0, return_error = True)\n", "plt.plot(Leapfrog_Run[0], Leapfrog_Run[1])" ] }, { "cell_type": "code", "execution_count": 31, "id": "6a562fdc-d1f6-4d3e-9907-aafa536a52b6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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